{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Trading Strategies (b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "from pylab import mpl, plt\n",
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "warnings.simplefilter('ignore')\n",
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "np.random.seed(1000)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear OLS Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "raw = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n",
    "                  index_col=0, parse_dates=True).dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['AAPL.O', 'MSFT.O', 'INTC.O', 'AMZN.O', 'GS.N', 'SPY', '.SPX', '.VIX',\n",
       "       'EUR=', 'XAU=', 'GDX', 'GLD'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "raw.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "symbol = 'EUR='"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.DataFrame(raw[symbol])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['returns'] = np.log(data / data.shift(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['direction'] = np.sign(data['returns']).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUR=</th>\n",
       "      <th>returns</th>\n",
       "      <th>direction</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>1.4368</td>\n",
       "      <td>-0.002988</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.003058</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1.4318</td>\n",
       "      <td>-0.006544</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.006544</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1.4513</td>\n",
       "      <td>0.006984</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              EUR=   returns  direction\n",
       "Date                                   \n",
       "2010-01-05  1.4368 -0.002988         -1\n",
       "2010-01-06  1.4412  0.003058          1\n",
       "2010-01-07  1.4318 -0.006544         -1\n",
       "2010-01-08  1.4412  0.006544          1\n",
       "2010-01-11  1.4513  0.006984          1"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data['returns'].hist(bins=35, figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_01.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "lags = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_lags(data):\n",
    "    global cols\n",
    "    cols = []\n",
    "    for lag in range(1, lags + 1):\n",
    "        col = 'lag_{}'.format(lag)\n",
    "        data[col] = data['returns'].shift(lag)\n",
    "        cols.append(col)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "create_lags(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUR=</th>\n",
       "      <th>returns</th>\n",
       "      <th>direction</th>\n",
       "      <th>lag_1</th>\n",
       "      <th>lag_2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>1.4368</td>\n",
       "      <td>-0.002988</td>\n",
       "      <td>-1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.003058</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.002988</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1.4318</td>\n",
       "      <td>-0.006544</td>\n",
       "      <td>-1</td>\n",
       "      <td>0.003058</td>\n",
       "      <td>-0.002988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.006544</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.006544</td>\n",
       "      <td>0.003058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1.4513</td>\n",
       "      <td>0.006984</td>\n",
       "      <td>1</td>\n",
       "      <td>0.006544</td>\n",
       "      <td>-0.006544</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              EUR=   returns  direction     lag_1     lag_2\n",
       "Date                                                       \n",
       "2010-01-05  1.4368 -0.002988         -1       NaN       NaN\n",
       "2010-01-06  1.4412  0.003058          1 -0.002988       NaN\n",
       "2010-01-07  1.4318 -0.006544         -1  0.003058 -0.002988\n",
       "2010-01-08  1.4412  0.006544          1 -0.006544  0.003058\n",
       "2010-01-11  1.4513  0.006984          1  0.006544 -0.006544"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot.scatter(x='lag_1', y='lag_2', c='returns', \n",
    "                  cmap='coolwarm', figsize=(10, 6), colorbar=True)\n",
    "plt.axvline(0, c='r', ls='--')\n",
    "plt.axhline(0, c='r', ls='--');\n",
    "# plt.savefig('../../images/ch15/strat_ml_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = LinearRegression()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_ols_1'] = model.fit(data[cols], data['returns']).predict(data[cols])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_ols_2'] = model.fit(data[cols], data['direction']).predict(data[cols])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pos_ols_1</th>\n",
       "      <th>pos_ols_2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>-0.000166</td>\n",
       "      <td>-0.000086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>0.000017</td>\n",
       "      <td>0.040404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>-0.000244</td>\n",
       "      <td>-0.011756</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>-0.000139</td>\n",
       "      <td>-0.043398</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>-0.000022</td>\n",
       "      <td>0.002237</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            pos_ols_1  pos_ols_2\n",
       "Date                            \n",
       "2010-01-07  -0.000166  -0.000086\n",
       "2010-01-08   0.000017   0.040404\n",
       "2010-01-11  -0.000244  -0.011756\n",
       "2010-01-12  -0.000139  -0.043398\n",
       "2010-01-13  -0.000022   0.002237"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['pos_ols_1', 'pos_ols_2']].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "data[['pos_ols_1', 'pos_ols_2']] = np.where(\n",
    "            data[['pos_ols_1', 'pos_ols_2']] > 0, 1, -1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1    1847\n",
       " 1     288\n",
       "Name: pos_ols_1, dtype: int64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['pos_ols_1'].value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       " 1    1377\n",
       "-1     758\n",
       "Name: pos_ols_2, dtype: int64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['pos_ols_2'].value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "555"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['pos_ols_1'].diff() != 0).sum()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "762"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['pos_ols_2'].diff() != 0).sum()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_ols_1'] = data['pos_ols_1'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_ols_2'] = data['pos_ols_2'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns        0.810644\n",
       "strat_ols_1    0.942422\n",
       "strat_ols_2    1.339286\n",
       "dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_ols_1', 'strat_ols_2']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    1093\n",
       "True     1042\n",
       "dtype: int64"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_ols_1']).value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True     1096\n",
       "False    1039\n",
       "dtype: int64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_ols_2']).value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/4ssofvShkMdYnQ7pv79BFky5aqoj3obOQjlTAa699nqkpKTirrtuw9Kli6EMMx00P18IdgYPPgNKpRLr16/D8uVLsX79N6ivr2v16x07dhQ5Obni4z59cnH8+LF2tcln587t2LVrO+6778FWt4MQQkjv5pHUfNIUBI9+dJQqPQMDF7yFtBDr87H6ODAsi7ynnkH2n4UOiOpPP4l4GzoLBVMBDhzYh5tvno0lS5YjNTUNX3/9BViWBc/zOHz4kHiedPz3gw+WQafTY9asW3HNNZNl12MY4S2WPldq4MAilEnGqU+fLsOAAQNbbFM4v/zyE7Zs+RX33/9X1NbWYN++Pa2/eUIIIb2Cu6EBlf9+X8xL4nkeztPlAIC8J+eCVak75XVZrQ5p104O2q9MTgYAaPPykXDOaHE/53B0SjsiLWaH+aKlsbEBb7zxL+Tk5KK+vg7XXz8VFRWnsWDBfHAch4aGelRWVuDTT1dixoxZSElJwYQJF2Px4gVwOp1wu92orKzA9u1bMWrUGBgMg7Fo0QJoNBoMGjQ46PWuuWYyFiyYj6VLF8NsNmPq1OnIzy/A6tWfoKmpCd9++zWUSmVQm0LZt28f5s59DAbDENx77x2w2+2YMuUGDIvxlbgJIYR0rZo1q9GwaSNcJhP6zvmLMMTn8UA/bDi0kjSTrhA/aoysg0JaIJSzWcEGzgSMQQwfUNq9q5hM5k5/4e66HlJ79ab77U33CtD99nR0vz1bLN5v1Uf/Rv133wIABr2zDO6GBhz/y/2IHzUaOXfe3aFrt+Z+rcZDMG/5FalX/w6KxISgnrDKFcvRsHED8p99HhpJKkw0ZWQkBE9J9KKeKUIIIaSXUSYmidu82y1WIme1XTMDXG8YDL0heLTGx1co1Hn6dMwEU82hYKqLWK1W/PDDetk+nU6HiRMvadf1vvxybdC+WbPaVwuLEEJI78JJyhI4KyvAu9wAIlPtPBKs+/cCAE6/tQAJ7yyLbmNagYKpLqLX63HVVW2raN6cSF6LEEJI7yKt8VQy90mkXH4lAIDVaqPVJJmEc8fBcfJktJvRajSbjxBCCOll3AE1nHz1nWIlmEq57Aqhl4xhwHs80W5OiyiYIoQQQnoZV3XogpjKpKSQ+7saw7LQDR4irOEnqX8VqyiYIoQQQnoZT5NZ7PmR0hYODPOMrqfQxwEAPFZrlFvSMgqmCCGEkF7GYzZDlZ6OnHvvF/exOh3UmZlRbFVo1oP7o92EFlEwRQghhPQinMsJzm6HIj4ByuQUcX+/hx+PYquCmbdtAQBUrVge8jjndOL00rdRv/EH2E8Ud2XTgtBsPkIIIaSX4HleXPNOlZkFbV4+cuc8CHVOLlSpaVFunVzCmHPR+NOPYY8f/+sD4KwWmH/9BZr8AuT/7emua1wA6pkihBBCegnz5l/Fyuc67zqwccNGxFwgBQBZN88StyveXYLAFVs4q0XcdtfWdFm7QqFgihBCCOklmn7bLW5r8vKi2JKWMUol9EPOAAA0/vIzbEcOi8dcJpPsXI85usv1UDBFCCGE9ALuxkY0bd8qPpbmS8UqRrLIsauqStx2nC6PRnPComCKEEII6QXK5r8ibufcOweK+PgotqZ1tP0LxW3Obhe3o90TFYiCKUIIIaQXcJSWiNvxI8+MYktaL/XKq5F43gUAAI+lSdzPe4S1BPXDhkelXYFoNh8hhBDSC7B6PTirFTn33N/yyTGCYVkkX3wJGn/+EZzFn3AO7xIzCaPPhTI5BSmXXh6lFgqoZ4oQQgjpBTibDeqcHMSfeVa0m9ImviVu6r//DrZjRwEAvIcDALBaDbJn/wma3NyotQ+gYIoQQgjp8Q7fNhvgeTjLYytxuzWUScnidv0P3wPwD/MxitgYYKNgihBCCOnBOJcz2k3oMHFo0i0EUb5hPkahiFKL5CiYIoQQQnowzmoTt9OnTotiS9pPP3gIAMC8bSs8TU3+mX1sbIQxsdE/RgghhJBOwdn8wRTv69npZhi1Wtw+Nuce//4Y6ZlqVTBlMBiyAcwDMNJoNI4OcfwiAPcB+BXACAAbjUbjOxFsJyGEEELagbP7gyndwKIotqT9mDA9ULESTLW2f+x8AGsAMGGO6wC8aDQaX4YQVC0wGAyx0fdGCCGE9GK+nqmEMeeKw2XdUfyooL4cMMrYGGBrVSuMRuMqb+9TuONfSR4OFHYZuQ62jRBCCCEd5LFaAciriXdHoRZjVsQnRKElwSIa0hkMhqcAXAPgjpbOTUnRQ6ns/O65jIzYeKO7Sm+63950rwDdb0/X3vvlOA4ceCjZ2BjuaC36+3YdTsUDAJIyU7usHZ3xOp4B+agL2Jc1IBcKyfp90RLRYMpoND5rMBgWAthtMBjOMRqNVeHOrauzRvKlQ8rISIDJFFvr93Sm3nS/veleAbrfnq4999vgMGPJ3uUobiwFALx+0d+h6CYBFf19uw7P8yj/fhMAwOJGl7Sjs+7XoU8StzNv/iMSxpyL2kYngK4p/dBcgNjuvCaDwRBnMBgyvNv/ZzAYfCsm1gJwA8hs77UJIYQ0b33pRjGQAoA1x75q5mzSW5k3/wLrvr0AAGVKapRb0zGqrCxxO/miSVDo46LYGrlWBVMGg2ECgJkA+hgMhicNBoMOwGwAz3lPcQJ4w2AwPApgEYD3jEbjvk5oLyGEEAAahVr2eP3JTVFqCYllzsoKcbu750wpk1MAAHExuBxOaxPQNwLYGLB7oeT4UgBLI9guQgghbdA/MS/aTSAxhrPbUb/+OwBA8qSLwTDhJuR3DwzLoujtd8OWSYim2GsRIYSQFvEBj1mGPs6JnNV4SCyLoB3QPetLBYrFQAqgYIoQQrolh8che2xz26PUEhKr3DXV4jbTBbPnezMKpgghpBsqb6qQPba6bWHOJL1V1Ycf+B9Qz2WnoneXEEK6GafHheMNJ2T7bBRMES/ObgPPcbL17FTp6VFsUc9HwRQhhHQjHM/h1Z1vwcm5ZPsdHifm/PAEPJwnSi0jsYBzOHD0nv/DqX+9LM7e63PHXdDm5Ue5ZT0bBVOEENJN8DyPsqYKlJpPAQD6xedAyfonZbs4Fyzuzi+ITGKXb+kY26GD4KwWsFotEkaPiXKrej4KpgghpJt4bddivLhtvvh4aPoQzJ/wPJI1/srQdkpE7914/7K4jpMnwcZQYcuejIIpQgjpJo7UH5c91ijUYBgGTo9/OQ17wCw/0rvwLrfsMatWhzmTRBIFU4QQ0k3FqfQAgNuH/1HcZ3dTMNWb8W55MJU1609RaknvQsEUIYR0UypWBQAoShmA6wdeDSC4/hTpXXiPPJhSZdIyuV2BgilCCOmmipL9a61pFRoAQL2jMVrNITHAYzbLHrN6XZRa0rtQMEUIId1QUXIhUrTJ4uN+CbkAgF/Kt0SrSSQGNP4kLHjNaDSIGzESrIpyprpCqxY6JoQQEl2B9aO0Sq3scX5iP6RrU1HnaOjKZpEYwHs8cFVXQ52VJczg02ox4I23uv3Cxt0J9UwRQkg3sKPqN9ljFsFflBqlBq6AnBnS81Wv/gQnnngE1kMH4aysgCq7DwVSXYyCKUII6QYC194L9WWpZlVwBVRGJz1f3bqvAQAV7y4BeB6ualOUW9T7UDBFCCHdQPAyMcHBlIpVwcN7aEmZXsRVUy1uu2trAQDagv7Rak6vRcEUIYR0Ax5eHiCF7JlSCKUS2tI75eE8OFJ3DFYXLZTcHfkCKKmcu++NQkt6NwqmCCGkGwjsbQqVM+WrO+XiWp839dnR/2H+rsX4/Nj/OtZAEhWeJnPQPprB1/UomCKEkBjnrDiN6q0/Azzf7Hkqb8+U09P6nqlySwUA4LSlsv0NJFHjMTcBADKm3xTllvRuVBqBEEJinGnVSpy7uxjKIXr8dFY8gNDDfP6eKWfQsXDc3l4spfe5JLZxLieKH3sYAJD3+FOwHjECAFSZWUi5/Epo+xc293TSSSiYIoSQGOcyCbOzikrs2DU6Exa3Ff0T84PO8+VMOduQM+XLr+J5LgItJZ2t7qsv4amvBwAUP/yguF+ZkICMG26MVrN6PQqmCCEkxrE6YUkQBQc8NmYOKixVMKQODDrP1zO17sQG/Hn4zFZd2+q2AwCO1B+PUGtJZ7KfLA25n42P7+KWECkKpgghJMZxbqH3SOUBUrTJsmVkpNTeYGq3aS9sbht0ypbXZbO6rOK2m3NDydLXQiyz7NoZtC9hzFio0tKj0BriQwnohBASo9z19Tj50t/hPHECAKD0NJ+AzsF/vKGZBY+rbbV4bdfbqLHVwubtmQKAsqbTHWswiYo+t98JhqWv82iid58QQmJU1b9XwHbYKD5mOR68O3zZg0pLlbjt8IRPQp/764s4XHcUL+9YAF4SgFVYqsBR7lTM4nkeYBhoB/iHeHWDDFFsEfGhYIoQQmIQz/OwHNgXtJ9zhU8uH5N9trgdWOTTx+xsCtrOjssCALx/8GPcu+FRWCRDfyR28G4XwPNgtf5FrqkkQmygYIoQQmIQ77CDdziC9zvlPU4es1nsrRqWPgTj+4wBIBTjDOVw3dGgfYaUAbLHx+qL29Vm0rl4h/C3Z9T+opysWhOt5hAJCqbaied5fHH8GxylDx1CSCdwWITK1rrBQ2BO0oDzlpXymBtx+LbZqFyxDK7aGhx74F6cfudt8Xm7THsAAMcbSlDeVBF03Vp7fdC+vvG5ssc19rpI3QaJEHtpCU4vfgsAoExIFPezen20mkQkWjVtw2AwZAOYB2Ck0WgcHeL4bABjARwDcDaAN4xG4y8RbGdM4Xkei/Ysw76ag/jqxHdYOOmlaDeJENKN8BwHx8lSaPrlhU0c3vzOP5AL4JTeiQ+uTsLEbWaMOGKDs1IIkBo2/oCEMWMBAE3btwK4C4BQHsEGIam8yWUJuq7Z1RS0L12XKnscKggj0VX67FxxW5mSIm4r4uKi0RwSoLU9U+cDWINQy5QLcgHMMRqNLwOYD2BxBNoWs5pcFuyrORjtZhBCuqmGHzeh9LmnUbN2TcjjHs6D3CM1AICvsoVeIrdCOMa7/blQVf9eEfRcvcrfU2F1By9e7Fvjb2rR78R98Sr5F3KZhWb1xTJlSioSz7tACMYVimg3h6CVwZTRaFwFIHg1Rf/x541Go29+LQsg+KdPD9KWFdkJISSQzSj8GDNv/lW23+Ky4seyX+FwCD1KJdlq1CQLAwgJcULvEWfzJ4c7y8uCrj2p3/nitsMtz7k6Wl+MH079DAAYklok7o9TxeEmw+/Fx6WNp/BV8XewS8omkNgRN3Iksm+5Fflzn412U4hXRKuzGQwGBsD9AB5s6dyUFD2Uys6PqDMyEiJ+TbdZ/muvM16jvWKpLZ2tN90rQPfbkzSkJAq/Tp0O8T4zMhLw3o8fYHv5HtgL6pAPf28UAFw8+EKU7vgPqj54P+Q1fde5LuMS6ONUeGfHR1DrGXG/yVKDV79/Szw/Mz1J3C7IycLAvjm47sxLsGDzMmwq2YIvir9BA1ePe8feEtF7D2xvb9HR+y3NzoK9ohJDn3kKyYW5LT8hynrb3zdiwZQ3kHoZwDKj0fhrS+fX1XX+1NuMjASYTGE71NqtqqlB3O6XkNspr9EenXW/sag33StA99vTOCFESa6GBphMZvF+j9UIS4WcqCxBPgCPgkGCOh43D74Btl2hlxHxkb5fSpcwdb64qhymJGH/j2XyytkNdXY8MeZBNDgaUVfj/zyOZ/3JzeX1VZ3yd+jpf99AkbhfZ0Mj1Ll94cotjPn3rqf+fZsLENs9m89gMMQZDIYM77YCwGsA1hqNxq8NBkl/cQ/kW2UdAFiaEEkIaSNW61/mxVF2StxmGCEt1eMtf5ASn44Xz38Kw9KHQBHf/C/9mrVrUL5oITiHAxqFMHV+/clN2F8jFP1sDKiIrmSVyInPxpC0QbL9viVpfOf0NLZjR1Ey7xnYTxTDYwlO0I9FnN0GzmaDMjGx5ZNJVLQqEjAYDBMAzATQx2AwPGkwGHQAZgN4znvKywCuA/CMwWD4AUISeo/lkgRTlD9FCGkzxj+XR5pEzsAXTHlznSSpEAmjxzR7yZo1n6Fp+zY0bPoBaoW/DtHe6gOwuW2ottfKzleyodMspAFUdlxmCzfS/Zz8+zzq0UgEAAAgAElEQVQ4ThSjdN4zOP7XOdFuTqs07RR6FbX9C6PcEhJOq352GI3GjQA2BuxeKDn+IFqRJ9VTSHumqmzVcHFuqHrgLzhCSOeQFt60HTaifvdv4HIKxIRvj8tbnFHp7yVilK37jHFWnIaaHSk+1io0+OumubJzipILwy6CLF2GhuebXwuwu+ObqSYfbfYTxWDj4qDOyITDO9EgbvjIFp5FooUigHZw8/5gys25cdJ8CoVJBdFrECG9mKumBg0//oDkiy+VFTOMZR6bfBJL1Q+bsPasbbC4hdwl3htMQdX2j+jGzb8idaq/7IFW6V96RKfU4rZhM1GU7O/h4JxOMCoVqj5cAXdNDZKmSmYDNrO+X3fjrKpC9aqPg/bzPC8Or8YKnuNQOu8ZAMCgd5aB8/57YeOoQGesooSfdvD1TGXrhS7walttc6cTQjpR8SN/Qe0Xa1H96apoN6XVuCYhOTfviaeEx04ntlTsEI832YT8JmnPVKD4c0Yh74mnkPVH+Ww73umEThJAScOE/IR+GJxaBIV3iM9VU4Ojd9+B6k8/QcOG72HZ8xuK9tfgioKLAQDOHhRMlb/+Kpp27gjaX/u/tajfuAH1m37o+kaFwVnlE7Q477Avq6GlY2IVBVPt4MuZStYIU4ubnD26rBYhYbmqTaj54r/gOS4qr89J1q7j3bE7ZCNlP3EC5m1boUxJgbpvXwDCrD4ppUcYXmNU4YMpQMihSbzgQtk+RqWC2u4BvEN0P5ZtFo/pVPKhPfvxYwDPo+7rL8V9tR9/hEmJZwIAHFzPCaacFaELkdZ8vhpVK5aj6v1lXdugZrgD/j1wdmH4l9VoQ51OYgAFU+3g65nqEy+stF5GSy+QXojneRQ/+hBqPl+Npl3Bv/hbdQ2PBxXvLoFl3952vX71an9vlHnzryh55m+o+e/n7WpLVymd9zQAQDdoMFiVGmx8PFz19cjQpYnn5JcLQQyvbOYjmhGOMQwjW/iWdzpx/IF7Me1wPACgzuFfi8/qkvd4+BZIDlS3YgUYMHC4e0YwJZ21x2g0yHviKaRNvj6KLWqe49RJcdtdXwfrgf1QJCSC1YXOcyPRR8FUO/iCqXSt8OFn81CVYNL7NO3YLm7zzvC9Qq7aWhybcy9q130l289zHCx796Dxl59RNv+VNr++7dBB1K//VrbPcfIkav77Oao++nebr9eZOLsNvMcj28dqhV4GZWIiXPUNyNJnAAASLB6cbRRyZPjG8L3eDOsfwEu9+lrhmpIv2z47ghdhD1w2xmMNXRrAXV8PlUIFZw/pmXKUlgAAUq+6BkULF0PbvxApl18ZdF60elgDVX2wXNxu2rULvMOBlCuupKVjYhgFU+3g9q5tpfd2mbs83WN4gZBIshcfF7elS5wEatq5A54mM6o/+RiuapO4v+bz1Shf8Jr4uO67b2EvOYHq1atgPRW8TEog3hO6VwUA6r/7NuyxrsbZbTh6z//hyB23wnbksLhfmSSkCSgSk+BuasLBSmGJmbF7JQFOc3nRkqTp1CuvxoD5C6AzDJad0v+UfDkZFSsfNgzMzfFhNRpoWHWPyJniOQ5mb+CvysgQ9zMqFZTp6bJzPY1CrprVeAju+rrw1+R5uGprOiX48pjNYsI5AFT9W6h4r87Kjvhrkcih2Xzt4Kst5Uvy7Cm/3ghpC+nQiS+nIyRJQNC0aydSLr1c2N7zm+w0k6Q3qfbLLzDonWXNvj7n7Q1LHH8ePFYrLLt3yY5LZ2m56+vA6vRRSeB11/uH2U7+4wVxO+WyKwAAmpxc2A4dRHq9G5XpKli1rfuNqy0cIG4zLAtFfDxYtfz+BpXYUdzXv0+tkAdTgUUrNXn54N0uOEpLoEVhj5jNV79hPRp++B4AoEz1D6UyDIPCF/8Jt7kRle++A8vePbAXH4emXz+cevlFAED2bbcjcex48TmuahPM27bBebocjb/8hMwZM5E88eKIttfdUB9yvyIuPqKvQyKLeqbawdczpWJVULEqHG8oiXKLCOl6XCuCKc7phOk//iDJ15vF8zx4R/PD45y3FlPdN+tQtvB12E/Ih60afxRK36n75CL3nvtR8Pw/kPfkXMSNEGrx+HrLPBYLjv/1AZz618ttub2ICfXeZN1yqzjMp8kvEPbVCsEh14pZ+onjzwv5Jc6o5cGSjpUHV6naFHnbJMN8ioRE5D/1DPSDh4B3u5FZz/WInin70SPitjIlNei4MiERCm9JjfKAf2cV77wt1triHA4UP/oQqj9dicZffgIAOMrLI97eum+/AQDozxgq28/GxYU6ncQI6plqB1+dKSWrRJo2BRXWKtjctrBF8AjpSSwH9kMRHw93o3/GUe2XXyDh3LHQ5PaVnes8Lf+y8c1ScpSUwGUyQZWVhcRx54FhWVkyOQAcvet26AYZYDssLIei0OqQfeufxeNW4yEAgCYvDwCgzhImhCi8w2fOsjLoigaJy7XYjx3t2I23U6glS1idv16Q7z1LbvTg0ryLUFR6DEDzCf36ocPBsMG/hVlJIjoAFPBJAG8XhwQv6nuevG2SYT6Nd2ahMlkIuOKdPaPOlDLNP5SnSg0OpgBA3SdH3K7+bLXsmGXvHjAsg6oPg/PwGjashyYnJ2K9U65qExp//hEAEDfyTMSfdbZYIV8RTz1TsYx6ptrBl4CuZBUYlCJ0tVfbwo+vR1KNrQ6/nt7e4ysTk9jEcxzK/vUySp+dC/uxo2D1/l/LJXOfDD7fW2E6aeLFYFQqsZSBq6YaAJA88WKkXfM7pFx5tfic+FGjxW1fIAUAzqpKuOvrwDmd8NiEhG5NXj7ihg6TvaZvOMS8bSush4049dLfO3rbHSKdmeWj0PuDKT5ReA9TXUpcnTEeqp/8gVT+mImy5/l63TT9+oV8LSZgmI8/cRLDjgo9YzcMmgxVwDCfr3cxbvgIcdjRV45h7FdHMWpPIzycPHG+M1gPHhDzmiJNmZgkbvt6AwOlXH6FuO2qlM/OLn/9VZTN/xdcVZUhnytdDqijpBXZk86/EOqcXACAOrcvFAnNr81Ioot6ptqhySV8AKlZNdJ0wi+dGnst+iXkNPe0iPjH9tdgcVmRoUvDwOT+nf56hEi5TFWyx4njzwPvdos5KbzHI5tx5BuqUyYmgtFowHuLD/q+xBXeYIxhGOQ9ORec04mmnaG/VO3HjuL4Xx8AAPS5827A44E+IOEaAFIvvxJ1X3+Jhk0/oP7778T9zS3Hcmr+v+AoKUb/l16Bu6YWjEoFVVpa2PPbwnEieFadtH5Uk0boNcovNqP4L/614vKeeCpoLbacu+6Fq7YW6szQa+YF9kwBQFqDv8iwZe8elL32LxTMexHq7Gx4rFawej1y75esBib5oTZ2rwUOjxN6tnN63T1WC1i1BqdeeQkAkNBCnlz7CPejTEkJewbDssid8xdxVqkiKQna/oVBeXidjXcLgau2sBCsRgO9YTD6v/gylCmpMVelnchRMNUOVdZqMGCQHZeJKqswO6mmi6qgW7x1YqhQKImG+u/Xyx4njhsPZVKyGExZ9u9D3DD/EJRvDTpGrQar1og9U76hL2keiLZA+HHAWSwtzsY7vWhh0PN9FAkJsuFBH97thqumGirvsI/jZCmU6Rk49fKL4tT5o/93OwAhjyn/b08324bWclYIPR3Jl1wq3pc04Kx3NoZ8njRZ2odRKsMGUgBk9aZ8zuo3Cpr8HAxKGYBjT9wBADjx5KNIGDMWzrJTUKVnyM4PrD3l5JzQI/LBVN36b2H66EMkXTgh4teW4j3CjLvMmbObPU8tGaJWZWQi86aZKK+tFf9tdDanqQrlixYAAHRFBn9bAv4+JDbRMF87WF1W6FU6sAwrlkf4uXwLfjPt77qETfqVQqLAXSv/0cDq9GKOEiAMidSt+xoAYN6xDaZPPgIAKOITwGo04B3C/w+Ppcm7PzgPJO7MszD0macQf/Y5LbZHumCwVM7/3YOE0WOgHViE3DkPism81atXged5OMrKUPLMUyh+5K8hvywdJSfaPZRe/dmnsvwvd30dVFlZyJw+A33/8jCSL7lUTDoHgFNNoZOYQwVGLQl1L2nJ2Zg84ErA6ZINI5m3CpXRWb18vbf4s86WX9MtL68QKdWrPwV4Hg0bfxD3VSx7F7aA3Dbz1i2o+eK/7X4d+wlh0kNLNZoU0sCc56FKTUXe355G8iWXAgH5aYnnXdCuv09zTjz2MFyVwlBiS5XvSeyhYKodrG4b9N5kc41CyFGotJrw9t7leHn7gmg2jZBO5fHOkNMPHQZWp4MyKQkMw6DfY/58qbr138BeWoLTby0Uvxx0AwaA0WjgaTLDVW2Cp8kbTIWY7s0wDJLPHImsFnoSAECZnBxyvyIhAX3uuAt5jz6BuGEjkHnzLACAectmVCxZjJrPhSRj32y2uDPPgqZfnuwatkMHW3z9QC6TCbX/W4vaL78Qru90wmM2Q+XtZdIPOQOZ02fIhmxKGk9hw6jg94FtxxeqtEfDh+c4nJj7JI7efUfI5ygCevfUfXKQ7C1fAQC/Ve9vczta0njIGHI2Z+NPm3Dy7/Nk+06//RZqPl8N845tKF+0MGzV9nB8xWV9Q8zhsGo1NHn5APwzMBmGQeb0GRgw3/+5njzpYmTfciv6vyAMTUKhaHPgbVr5EUqenQvOu6B14D2FGq4lsY2G+drB6rYhRSt8iCtZ+VtYbumipWUoAZ1EAWe1gtFokXv/g+CdTrFuk29GHQBo8/JR+uxc8TGr00GVmSXmDhU/+hDivL0fzc1QUiQkIOe+B8BqteBsNrgb6oVeEw8H3uWCeftWJE2YGPb5UipJcUZfj4xU8oSJcJqqUL1qpdjbdWr+Kyh6awkYlgXncqF27RokjB4TFHRJWQ8eELd5joO7TujJCzUl36faVoNSQzyutveHVbKsTnM5XuEkXTRRLPIotsPphNM7ozEUj6RApE/6dVNQ/+06lGarsObYV7gsv3Xvc0t8QUf1jz+1+bmn3xKGdm2TLoF+UHDQGKh+0w/g7ZK1G10tB2HJky5G5bJ3kTThItl+hV6PosVLYd6xDQlnjwIgBPIJY8bCvHUzXCZTs8OvUrzbjbpvhN7bpm3bkDj+PFj275Odw9LMvW6Hgqk2cnpccHNusWcqTRv+Q7IzufnOn2FDeidHeRl4txta7690Kc5qhUKvB8OyYCQzo1iVGkWL3sGRO2+DM2DWU85d94JhWeiHnCEGG5ZdO4XnBQwxBYr3zl4LJVUyA7AlDMuiaMl7qFqxDA2bNgYd1w0egrjhI5A88WLwDjuOPXAfeJcLzorT0OTkovrTT1D/3Tew7NuL/KeeCfs6TkmC/vG/zhGXLFE2k8ze6DQjUZsQkaKMDMMgf+5zcNVUg3M4ULFkEbiAHiDtwCJZ7SVHyYng63h7xZgIFvh2nDqJU6/+E4r4BMT1yWr23MCJDFLhqrYHCly42NcL1JzE8edD238ANLm5QccYhQKJY8bK9qmzharkLlNVq4MpV02NuF23/ltUvLsk6BxfeQrSfdAwXxtZ3d5hDm8wpVV2XUVlaVcyLWFDIq1+w/cwffoJSp56QtazJOWb/RWSQgEwDFwV/t7ZgQsXQz/kDABAzj33y05nNJqQtZI6C8MwSBx3vvg45YqrwMbFIefu+8QhNYZhwGp1SBg7DgBQ8tQTOHLX7aj/TiikyIXoxZFye0s+AMLSJNWffAwAUIXpmeJ5HmanGcnaRLAa/9BOqHXjWkvTrx/iJcOWgcn8gUNKob64GZaFh2Wg9ITvATd9/B80eGsitYbVeAiehgY4y06hbvsOKBISkXPvnJDnBs4alSpf8BpOL1nUfNX9EJSS3L5wGJYNGUiF40sOd1VXt3CmoGzh6zj5sr9UR6hANm74CMQFFOwksY+CqTayuoQPU73K/4Uyrs9o2Tkc3zmLZZpd/hl8viVtCImUqn+/j7qv/ic+DswDcVZWgLNaZHV7pBiGkQ0/Fzz3gmz5FlajgW7wEPFxxrQ/RKrpraYrKkLypEsAAInnjsPA1xYGJVwDQPrkKeK2NMndZaoSZySGEu4LPnDNPB+HxwEn50KyNklWIypx/Hkhz28LVh2cc6UrGiQr1ZB8yWXo+5eHQj6fU7JQhukA5+x21H27DpXvLW1VW8remC+rhA8A2oICxI88M6jSNwCUPCf0/rlqQgcp5i2bYdm3J+zrhcph0g8d3qq2toVvbT93mHZKcQ4HLLt2wlMferkYQBgSz73/wXYN8ZLoomCqjaxuIZjyrcsHADMGT8WrE+ZheLrwRWGP0OyXekeD7EOhRlIY1EnBFImgUF8+0iCi8defceKJRwEA+iFDgs4NRRliSrfHbBa3k847P+h4V0i/YRr6v/RK2MKXgJAPkzFteshj4Yo3AuHzcnzV2QOVmoUFnTUKtSzpuKWZZ60Rakq9IilZVqAyc/pNUGf3Cfl8tUYPBcejMCl4uNfdTEAQiuW33cFtiReKUObcOwfaAQNlx3zJ6ZY9QsCk8ZbNkBbd9FXTD8V6QJ40n3XLbZ1Sp8lXZkO6gHfI9pSeDDsBQEpasJZ0LxRMtZGvvpNW4f8VyTAM1Aq1uCK7i2vbbJNQfjPtwxM/P48Np/yJmj+W/Spu++pNERIJoWZINe3eibLX/gVH2SlULPXndaRccVXY60hr+YSajZZ18x8RN2Ik8p95Pmq/vlmVWpxd15zkSy4T7yd9ylSkTb4eAFD79Vdhn8O7XeJzQ6mx1aHCIgxhnTKX47VdiwEAOYlZYCS9eJGadu+roO3DqtVI//009Hv8KRS++nqzz1WoNVC5eajZ4LZIg2Jp0n0oplUrQ+5nVMLfn1Wp4K4V8ojizxklO8d25DAAoM+f78CA+QswcMEi5Nx9n3Dd//wbh2+bjcoVy4Ou7ZutCQCJ51/YaYG7MiUFUCiaHeazFx/HrhDDmb5gEgCSJkxE/txnkXnTzZ3STtL5qC+xjZbuF7qqQ9WGUTDCr0kuAsnhOyp/AwD8eOpXTOx7Pj47+j9sqfAvM/FNyQYoGQWuLgz9oU1IW/AhknMrlghf9Ja98uGU5vKckidcBEdpSdhq07qiQcgtGtSBlnYdhmWRPOEiJHtndrlqalCz5jOYt/yKtMnXh0w45t1uMEolMqZNF/OspJ76VciXuSB3HOod/p6VG4ZejeNG/xCr9Iu2IwKXT2E0ajAsC11hYZhnyJ+rauRxtCG4grunyR9MnXrlJQwKU7mcd7tR9/WXIY9xkp5P3xqBytQ0xI0YCcue3+CxWuCqrQEYBqqMTPHfXWDOXsPGDciaOUvePqsVjFqNgQsXd2rlcIZloUpNhavaBM7pRNmr/0TSRZOQeK4/Ub30+WeDnqcdMBApl10uzlBMu+56KL2LLZPuiXqm2siXD1XvCK5azDLC2+mJQM7UjiohmOLAw2SrxvqTm4LO+fLEd0H7CGkPy+7gYZhQNCFm+AXKmjkLadf8rqNNijnS5WVOPP4w3I3BnwGcywVGpQLDssif+xw0+QXo/+LLAICSRv8afT+W/Yq91UKPzp+G3gQFq0DiuWOhKxoETb+8iNUZCgxqpQv6tkSh10Pt5uH2uGCy1siOSYMpADDvFH7o7a85hLf3LBeLF/vqiflk33Y7tAOLAMgLwPa57XYwajWSJ10sJsRXvr9cCE6976ePNA/Ph/cE/ID1eKCIi++SJVhU6RnwNDbCfqIYtiOHUbFkESrffw+uutDrtWZMvwl5jz2JuOH+maoKfXAlf9K9UDDVRmdlCEmMUwYGT8v29Ux5Otgz5ZTM1GPBoLqLlqohvZP1sFE2PVuaUyOlGzwEuXP+0lXNikl9/u9ucTvUAsa8ywVGKQxvavr1Q/7fnoYqPQPlTRV4afsbIa85MkNYqJnV6tD34ceQF6FlbAB/Tg8AgGGQfNGkVj+X1enA8oDazWPhb+/IjrkCKuGffvMN8DyPN397F79V78cek5CzVFfhr8iePmUqEs4dJw7/SoeW4886B0Vvvg11RiYSx40HADRt3yoEUwH5Y+rs7KBh0MDyD7zHA0bZ8byz1vAt++M87R+taNi0EcUPPRDyfN/9sGo1MmfMRMZNN0ckR45EFw3ztZHGWwohQR2iYrH311NrZ/PtNu0DeB5nZspnmZhs/vH3fgm5qLSGT260u+3QKkOvhE5IazRt3ypu9//HP6FKS0fTzh1wmeT/7tKnTIUysXcPRcSfPQpxI8+E5bfdIXO+OLsdrD54HTtj3dGgfT7Swr8Mw0R0qSilpFhp5s1/bFMpClYr3EdGrRtlqhrwPA/r/n3QDSwS1mIMmL1ZYvYHl7tM+8AwDPZ+uwTjvfuSL70MDMOIsyHD5YXpJMPAzlMnoQgY/mK1OgxcsAgAUP7mG7Ds3gXO4ZT17vBuNxhN11QRV3j/TzT8GDx6IKUdWIS44SOQdIF/LcLkiRd3attI16GeqTbycEKvk68XSkrsmeJa7pnieA5L9r6PJftWBB2TLprMgxcXUwYAtUKNM1IN4pBiqOFGQtrCtxAsIJmdZAoO4DU5ra+/01MxDCMuyBwqaZ+z28QghOM5mL0TVsqaToe83vUhergjSZpo31zl9lAsB4Sq3FPXCzP3mnZsR9n8V1D85KPwmM1IumACtIUDAAj5Vb6yMQCw27QXnx75Ahm1/veIVQnBTeZNM6FOS0Pm9JvCvra0AniooJVhWTAsKwb3gUvTCEU/u6avwJfrJC05IbZDEmzqCgcg7eprqexBD0XBVBv5hvAUbKhgqvmeqTp7PR7aNBdrjn2F0xb/9OrAaenSGlI7q/ZgV9Veybkc7j7zVpyXcy4A4Lkt/8R7+z8UP7QJaQ1HeTmq13wGnuPgqgoukKgI6IFKnzotKJm5t/J9Gbpra2D65CNwdjt4jkPliuXgHQ4ovAnSr+5chEd/ehafHlkr5hBdkjdBdi2NonN7T6TL9ei8gU9rSRdFBvwlIXx1kjT98pD3+N+gLSwE73YHzWJucDZCbxc+C6VlGrQFBRj97tvQ9G2mNIWklplvSZ5QWJ3wXktnFwLNV1CPtKB8LQlpXlja7yZ3RXNIlFAw1Uat6Zk61nAi6JjNbceiPctgddvwTckGvLD1VfGY3SP/VeUO6NmSFuv0HcvS+z+ctlfuxqM/PYtyc/j6N4RInXzxedSuXQPz1s3il1WqJGm88JXXxMRpoHXVo3sLXzBVuexd1K37GqZVK2E/cQINGzcIx1OSYHPbcdz7OfD9yR/h9gYal+VPxBsTXxSv5ezklQy0hQOQctkV6PvwY21+bmCiNxOwXhwbJwQyjFIF3u2G2xM8I1Tj4uBQMSh44R9tem1dUVGrztPk9gUAnPzHC7AdOeL/Yepxd1nOVPyZZ4Y9VvyIkGOYNu5csceS9EwUTLWRb028UMGUb+ht1ZH/YvXRL2THPj2yNmQ5BQBocsprRrn58HWqeAgfFn3jg2flzPnyadjcbVtigfROnNUCADBv3QJnxWnoBg9B+nX+qt8Mw0CVnoGM6TMAIGSV6l4rIKep4Yfv4WnwF7HcWrELf930lOwcX5FdFasCy7C4MFfIJApVEDOiTWVZZEyb3qqFgQMpk5LF7fN2N8Hili+l4+tt8gWXRpMx+PU5AAq2zcsG6Q3+wrB97rgr7HlqydIvJ//xPBp//gm8x+MtURFc56wzqPvkIPfBh6DKykbB8y+GPIcCqZ6Pgqk28vVMKUMM80mDoPWlQjKi75eSr9RBKE0ui/w63tcYmNw/6NwElfDrUBUmH8BKxTxJK2j7C3WGLHuEf5eavn1DnpdyyaUoWvKe7Iu1twtVWdwlGYpyKuXB1rC0IThYKxSf9H1u3DDod3j+vCfQv5ODqY7Imv0ncXvUASusH34sO+4bNvQtirytbDsAQCVJqFfwDLh2JNTHnzMK6VOnIX/us0gYPSbseYFDheYtv4olK7qyNzXujKHo//yLUGdlhzyef3P4/DDSM7QYTBkMhmyDwfCOwWDY1sw5lxgMht0Gg+GeyDYv9nia6ZnqEyf/j/Toj8/iP8ZPAUDMmQjFEhBMebxDAoaUgUHnjs8RPlh81dYBIEfyussPfNRs+wkJpbmK4F1Rq6c7iT/zrKB9dev8VdGP9ZMPj1Va/Tlpvt5rlmGRrIntoVN1TutqUvl6poYkCsHVHSNmAwD6J+aD5QGeDf73w3HNz3hmFAqkXnFVi0nzjEKBxPMvFB9bDx6Aq0JI9leEWMC5KySOPw+6okEY8Pqb4j5lXJjFwUmP0ZqeqfMBrAEQ8hPVYDAkAkgG0Lqqf92ch/eAZdiQXzDnZp+N24f/UXxsdjXh53Jh2rk0+AkUrmdKuphymjYVtw+fhWtCVDzXKf1dyKHytQiRqt+4Afbi47J9ylYsr0L88v72tKzmlLtGKGq5+fphKMuSJ5WbbMKxAUkFXda+SGhumEy6YLXvPC2EH5j94nPx9NhHcN9Zt4PlefABH5V7TPsx/ZO7xd66jtIb5EOY1Z8JP2BVYarwd7bsP/0Z/R55HAq9Htm334mUy6+EQkfDfD1di3M0jUbjKoPBcFEzxxsBrDIYDNe05YVTUvRQdkGCYEZGZJZl8GFYoas+3HWzMsfhcNMR/FDsX0dPk8igT0ImShuERU3H9jsbm0/uFI+rdAwyMhKwv+owaqx10OiF96VPaqp4jt1jwyVn+JcoSEuLw0VV4zA+7xysO7oRkKz5mZCihlYZXCW4p4n03zbWRep+S9YFL++RmpuB5Bh7P2P67+st3ps9dBB23XO/uNuargUsoZ9yZu4Zzd5TLN7vkTD7R/ztUSi9Cen1CTqYAZw4dRBIVyE3KxVqpRBQ7ucBnpXf2w97hPVG15dtxIWGczrcxozfXQHz99/BUiyUJrAfPwaFToeCqy+DOjm672nG1Zf6t2Pw79uZetv9Rq3gRV1d5+f2ZGQkwGQyt3xiG9hdTigYRbPX5QJG9D7c8V84vdOM59aHUxQAACAASURBVI1/HApWIQumahoaUVFZj2d+EGb4nZEm/NJy2/wdhxaXLeg1bygUFl5VcPJfkGWVNUhU9+x/yJ3xt41lkbpfnuPgqBJqSOkMg2EzHgIAOLPyYur97C5/X14pXwbkYEMJWJUCRcmFQYU64/jw99Rd7hcA0h5+CHU2HrAJ7bXWCTlK07+pw2s3ZaK+1g6GEQpzsjzgYhhUVjXA6rIhXh0HeISuKofTFbF77vPw46hevQr1364DAGgKB6DBxQIx8p52p79vJPTU+20uQKTqYW3k4Twh86WkNAp5r9CxhhPgeA5J6gSkaJODinra3Q488pN/McwDNcKsGL1k+O6WoeETGKXF8oDm87NI7+UymVD64vPi49w5D8J+9Ci0Awe2ebYVETBKJdj4eHDeNejcCgA8hztGzEZ502kUJObhng2PAAAKEsPXVepOVp34EncM8s/utJT4i1XG2XlZCgTDAxwDrD2+Dt+UbMDDo+6FxTtJRtnC52hbsCqVrDaVxxKme5CQTtKuT1CDwRBnMBiCp7T0Am6+5WAqK06+mnxJ40m4ODdY7/MUrALPjnsMj44WhgeO1h+HLWDaMQCoFf4ep1FZ4WuZGFKFRHXfshSdXbuGdD+8243ixx6STeFnVWroh5whVqYm7SP9EveVTdAo1OiflA+GYXBJ3gT0T8xDhj49zBVin2WgPxn9mLNCduzzof5ZzLd+75AdYzgebobDNyVCDa6fyjaLJWLSdZHN00u51J9PSmvdka7WYs+UwWCYAGAmgD4Gg+FJAK8AmA1gOIA7vefcB2AEgDSDwWAyGo0fh7lct+byuGBxWRGnan5mhjpEsnm9owGpWn9CZJouBam8MN08XNK4glHgvjNvb3Hh5Am54zEsbQh21e/Cfw99Cwf1TJEAzhBVzklk6IcOg7O8LOzxzl4ypivkjJ+EtYmfI73eDYuORWnjKeQlCuU0TuT6e+KZ+oDlrTgenCQBfVvlrk5rI6NUIv7sc9C0c0fYEgWEdJbWJKBvBLAxYPfCgHNeB/B6BNsVFU6PC07OiXiVPA+C53n8cOpnuDk3bG4bxueMbvY60oVLxWuAF5eb8WlpyrmSVYq9Ts1RsApk6tOhNgs9DK7ApC0SEY6TpShf/CZy7rwbDak6PLP5JYzKOrPZIdhYEbh2Wc69c6LUkp4n5bIrUP/tOlnQ0FOkT5mKpt92I2PchShRbsMuex0AYF3JBkwZeA3SdMEz5oSCmcJnYOBsPumSMyXmk3B6XGhyNWG3aR/StakYkdGx4rDpv58GRUIC0qfc0KHrENJWlDMlMX/XIpQ0nsT8i14QC8/xPC/mPPj0i29+wVdpMJWf0E9cTb3KVh107swh07Di4MqQ1wkM6lqi9c6goZ6p1uN5Ho2//ASGVSBx3Phmzy1/8w24TCYYVy3HqjHCMML2yt0xHUzxPA/bkcPiorzJky5GxvQZlCMVQaqUFJReOxpbbMLct0vzLopugyIo9aprkHqVMFFbuobobtNe7DbtxbnZwmw8s45Fgk2oHcU5HOBtVoDjwHpzpkIpazqNFQc/xs6qPeK+hZNe6lB71VlZyJo5u0PXIKQ9KJiSKGkUgp639y6Hy+PCnLPvFJMlpVQhep7kx/3j9f0Sc8VgKpSCxNBF6dSKtpc3UHsXTY3FnCmry4ZNZb/iwtyxsvpZALC1Yic0CjVGZgzr+nYd2I/K95YCAOJGnikuUlthqYKKVcl+ebtMwiy4PXw5auzxwReLQeatW1CxZJFYR0qZnEKBVCc4OTAF5ZVqzBv/OFK0PbNa/KwzpmP+rkWyfVsqdgAA/n1VKqZ8X4/MOjc4mxWlzz8Lj9kMBQC3MnyXnTSQIqQ7o0/VEA7UGHGk/jh2Vu2RLTLsE2oYT0rB+I8XJDQ/gyewmGeWXkhev27AVa1trsgXfMXibL7Pjn6Btce/xqdH5GsWujwuLD/wEd7e+35U1hV0lJwQtz1N/r/1c1v+iad+/bv4mJdUbPb/Pvc+5gP3xA5fcU53rVA4klFTsnlncHl/wPh+0PRERSmFeHR08PBwpi4dDg2LzDqh97P4iUfhMfunxdclCp+HOqUWRcmFuH7g1bhq0KSuaTQhXYSCqWZ8VfydWI1cqrlq5gCQHZeJTF06rul/OUZnnyUuG3HzkGnB15KssTc662w8Mvo+vDrheUzo2/yQUyi+D3JHDOZM+YY4q+01sv213hwMAChtPNWh13BWVAirxx872vLJXtbD/irMTu8yFNLgyFfGot7ib7faLQ+efIvYxiJlYqLsMQVTncP377ulz4burl9CDh4bPUc2o7nKVo04pR76YSOEHR75Z6bKJfx/mT7oesw5+05ckjcBI7KGIJRY/mFCSHMomPL62Ph50L5MfQbckoRJn5Z6puJUeswd9zCu7H8xlKwSz5/3BBZOegnj+owKOlf64Tu16FpoFGpZSYS28OVMuWJwmC+cakkwZfN0rGeq7puvYDtyGDWff9bq5zhP+2dhuaoqAUA2e9LqLVmxa/d34j61S/6Bv9L4OTi++bXGosHdUA/bUXkNayqDEHk2tw2nLcK/nZZSAHqCvgk5mH/R8xiSOkjcZ3FbkTg+9A9Ai074mhmYUijuOzsn9JC+K8TnLSHdAQVTXpvKfgnal6RJwOqjXwTt10SwK1/64dtSkNYSX8/U58e+DCoMGm2+H5xMwBKPNbZacdvhlteoaftrCC/iCJimXr16FWq++G/Q+Z6mJrhrasSZR+66OhypO47Xdr0tnvPu/g/RdPIE+i5fJ+5TuXkMSR0k5rttrtiOw3XHOtT2znD8L3Ng2fObbB+j6vlf9l1tj+mAuN1bFoVmGRZ/MPxevk8l/xGYdOEEZP/5DmwdJuQh6pXyXMkZg28Iqp/njuFeXkKaQ8FUM+xuB46HqAGlU2oj9hrS7vKO/qrNjPcXBfQVxot1jU5/bsX7Bz9GvaOhmbObxzUJVY89DfXgvMv3OCtOo/bLL1Dz+eqg862HhUrzSRMvBqvVov7nH/Hajrdkf/PDdUfx1S8fyp6XxsTjrpF/Ql5CX3GfJWCxapfJBKcperWdOJd/qJfR+P+9SnNZSGSs8xak7OlDfIE0Sv+Pyr+ccxeYgF5P3u1G4rnj4FIJXzOBPe7jc0bjlqE34fExD4j7qGeKdFcUTDWjwhr6y1AbwWBK+ktWwXasam9mXBom9j0fAELOQoyu0LkQ9oChvQpL+wIQ25HDaNq1Q3xsPbhf3O/jNssLCjpKSwAAccNHIG74CPBNTdDbg4frKs2nZY8TeBVYhoVJUuqCCaghVvzYQzjx2MPtupdIcNf4e/yyZs1G34cfg7Z/IRJGjYlam3oqu3co+OULno5uQ7qYVrJsVmFSAVi9vJSLb0JHQWKemDcaSm58H4z1pkDsrxHWilyy9328LukhJiTWUTDl5Rtiu2P4LMwb/ziSNUliqYRALVVAj6asOGGVnxp7bQtnRkdgz5PZKXzgZsdlAUC7c49OL5V/8Ja/8ZpwPYd/6LDy3Xdk57jrhXwtZUIi/p+98wyMolzb8D2zvSWb3jshlITeOygoiA27x4bHjh6xKyg2VOweFAv23rAhx/pRpUNIgARICElI73WzfXe+H7PTdmbTAwns9Sc7M+/Mzmx2Z573KfcjC6Rv9joJY0ruFTFVllTBerIYC5LOZdfxw6r8kKJ3zhJFUWj4bQNbZddXOOo5Q08/eiy0g9MQv3wFZIYzuwH2qcbldqHFbkJKYCIU3cx1HKjISTnuGHETlk+4HwCgTkyEfsxYdnvIhRcDAB4cuwTPTnms3WORnvD/l8fWAQCya3OQ11gAc7+bFPrxI81Zb0w121rxyv634HQ7MTR4MEaEDUeQ2ihoMtzXDAlKRUbosF45VpSObqNQZ+lfxlSwOhgAUGupF3ifaD0nOSZEjAaADlvn+MJZRxsPxjkeA4ei0LJrB5q3bWHHuK1WzyYKzqYmtGz/BwBAarVsf7XwBjrMoJVrQHq8TTKX2Ktmys5CcmAiW6H5yZGvsWTTwyhtLReEFEt5jYXdNhtqvvocdT+uQ8lzz6CJd24MrtZWFD32MEzZvttuuK0WkZfNG6YyMWLxLaJcFj+9R6vDBAoUAlUBHQ8+A8kIHYZoPX3PIUgS0Xfdg8EffILBH3wCdRKdcE4QBPtb8kVhSwn7utnGhaLfz/miD87aj5/e56w3ppbteBZFnh8y34Di68VcNfgS9jXjQelN7hl9K+4YcVOvHIu5hn1VB3DP5kdR5aky6i1cbhe+zvsRx7uYcO3gJZbyvWY2lw1auYb9vLuTOM/3PimjotjXVR++D3sFlztmOZ6Pk0+vQOH996Lxrz/Y9fKgIMhD6HyzxHL6WA+OXYKHx92DIJUR43PpfKhjiSqURNCGScOvv8Bts4k637+243XR+TEaVRVv/RfNmzex6+u+F7ewrP3hOzhqa1Dx1n99Xm/RskdQeN9/fJaRuywW1H79JX1tAWfnQ/5U0Wyjjdqz1ZjqLZjPEaDvyQwWv2fKzwDhrDKmHC4HGq1NAIB6SyN+OfG7YDtfmXt0eAb7OkzDJXbfOOyqPj7LnsEYJc32VrgpN/ZUHejV4x9pyMP28t14I+u9Lu3XYudultVtNWw4z+5yQClTsn0Lu+OZslfSBpN26HAEzpwNRYRvg9dWWgJXawsaN/4NAIh//CkQJAnDeDqXKLbGgaXfNUCTU4g4QwwmRY2D1uYxWiaMxvAlXB5UwZLbBRWY0TV23LlO3DLIbbXAbbPBfPSIYL0qIVEgBgqA9ZYBwnwvhrbcHLha6M/S1dICl7lNNMZRXcW+ZioV/fQNf3mSzyM9Yrt+usekqLEdDxog/Fr4JzKrD3Y80M8ZxVllTH2c+xUe3/k8asy1+PLY9+yNkMHIm13OiZsOoyoQM2ImIy14EB4adzfuG3OnoIKrP+It2xDqCa/1Ft1VKW/wGLEA8EPBBrx/+HMcbyxEs70FClLBJt/buqiRRVEUa6Rohw0DQZJIfOb5jnf0CAsyhhdFABWhcqgcFCinE1Xv020zzo2aioYA+twih49DVHSq4DByni00vFD6s3FbbXDUiY0sy7GjKFr2MBt+tHoS4hlKXxRfR/2vv7CvCx+4Fyf+s0Q0xtnEfdaMx62vqbc0shOVs4mc+mOI0IZhclT7zc/9tM+lKRcg2pOiwBCkMqLNk9w/UHC4nfijeCM+yv2yU3Ip6/LX47t8scahn4HHWWVMHayjK7w2lmyTbAYcxzOUSILEc1OX46q0S0ESJBID4jHImHTKzrW76BU6wU3pkOeaewsZL/ehwlTVzkgOl9slcOMz58X0+Wq2t6DGTBsbX3kSUDtL5dtvoe6H7wGALc0mZDKQemHvvJBLLxPtC4IAqaIrkrJqDqPeKPbi1L71JoJbaMNLq6KrlWIf4LxTcepwyEk5SIJEdJj098NttQpCkYbxE6AfTc/EnXV1sJXRhQ7l/xWHCL1hvFKC49uE+lwOT+sYRXgElOE985jUWxrxSe43HUpWrNj1Ah7f2Qkj9gzC7nLA6XYiWB3U40rcsx0ZKcOj4+8VrNMptGiwNkrK0/RX+DpZ//V475ttrVix8RUs3/GcIKHeZG/D5rLt2Fq2s0eSMH76B2eVMcWwvWIPinkJjwyx+ujTcDa9C0EQghBljqfUuLdw8artfjj+a6f2abI1g/IhjQAAU6MnsuKd7Y2Tgi+HAF7IjJAJDSPjzNkY9M77iLqT8+SQGg3b9Lfe2gCzSvhzMGVnwZLHfX7DQtIAANqhw2CYOIl+7SDwqG0yHky+DhoD1xQ5Zun97OvSF56Fy0QbQcEXXIio2+9C2DX/gnbYcPq0rRZQbjdcnqRy3UhOyNDZTN9kKZcLJ1c+DUdNNZQxsSDVPO0oE5ew6zKbUfsVnbQb+e9bpT6yLvFN/o/YV32g3f81P3fL22g+kzE76Qdjf67uHUjISBnr4QtWB7ENo1/NfPt0nlaXsLvEOlmvZq7BsboTaLI149fCv1jDKZd3b16T/eEpO0c/fcNZk1BR1HzS57Z5CbOREToMgaozo2w8zhDDvg5WB7UzsuvwjaljjcdBUVSHqs9M/72ZsVOxtWyHaLtWrsGi1IXIqj3Mqop3C5IzhiivmxqpVoOQy6GK5Y5ParmHYIu9FXal0Jhq+I1Tv9ekDhZUJDEeLb6WlFJPH2/L9DAsSolByEWXoH79z3BbLDAdoI0+eUgIAEARHAz9qNEwH8mF22KF22IB3G7oRo1G2JXXwHzsKCibDa7WFsgDA2FvaoatuAgAYC8vE1yr28p5phr/5im1e96rJ1g9YV2TXZybxcDvTVjQVIixXqrWZypmBx2COpWVv2c6Vwy+GFOixyM5MBE15jocrjvS8U79BJfbhY9yvxCt4xfcbCvfiW3lO5FqTBZIaVS0VeHBbU/i+qFXYGSYdKsdP/2bs8Yz9ZaE5X9h8vl4ctJDuDhlPpIDE07DWfUNw4LTMDqcbjoapun5A5WPy0uhuDPu6UbPmChdOKZEiUUjdQodjKpAECAEYcSuEjhtGvva7REMBABSq2MTsWU6TljQ3cYZCM22FliVQqPQUcNJOIRcskiwTRktzp0jTGZUB8txMBZ4cteLAu8Rk1iuHcJJYMg8cgyV773N6kLJdHoow8MRNHceAKDupx88o4UeO77atL2caxBt5elaMcfvCW6P1ym/6QRrPHjz98kt7OuPcr+SDKGfaVS11eBAzSEAwsIVPz1DJVMiOTARABCuDUWoOrhdwc/+AkVRKGopQUFTkWD9W9kfSI4/3lSII/V5gnUWpwUf534lOd5P/+esMaYcEj2fhganIlwbdhrOpm+RkTL8e/i/QICQvO6e4PSqtitpLZMcd7A2F8cbaWFKRo1dr9Dj6rRLRW1zdApa00ktV8PitIJyu2E5fhxvZ3+I9w9/7vNcXDyDKeXNd0CqxR6C6HuWIuU1TmaA741yW2jjwORoQ07dUTTGGr2O3wqZwYDBH3wCbdoQwTbDOOmEY6eMADyeurYQYd6WbsRIQQ6TLmME+7p8NZ0v5fTkOxkmTKaPcTAbpqxMOJo4ozXk4ksh03LXWrn2He6cLZzBQ5A9/3nzeynWWGpF2ymKwu/F/ydYl1md3eP37e88u+cV9rr9nqm+Q07KJZvN9zf2VGXi9QPviNbnN3WchB7CKxJyuJ3sfdPPwOKsMaakPDRnci8tgiCgkClgdzl86hF5s7VsJ17Y+0a7/bEYLwRT1VhrqZcct/bwp2yCOWNM6RQayEgZpsdMFozVKWhvkVauhtlpQcOG9Sh98TnIdmchu/YwAKCgqQiHaulk+iZbMzYV7kTFjo0AgNArroJMI3ygxSx9AEHzzocuY4RAHoAgSSgjaS2q+OUrAACVpirY3Q5kDJ6ChKdXIvH5l9jxpEq6dRCjmO5Ni45LRF6Hw0hZvYZdZt6XO7YKuhEjAQAuTwWe0eORUkVz+XsVa97EwfsfYpf1Y8Yi6g5hFR8jD8EYiIkrX5A8v66SGpTMvl6Xvx4WpxUf536FtYc/w9rDn6Ga13LplvTrAaBfNn3uTbxbHlkGWMXZQMJJuWBy+A4x9wcqTFX4/Oh33dp3UuQ4TIkWeuuZ+6afgcVZY0wxeR3/Tr+OXdfVZOeBRoDSgDJTBe7e/Ag2FP7Frv/h+K9YsulhvJX9AR7+5ykcrM0BAHyX/zPKTBV46quNuO3lzSisECcTM2G94SG0p0Yql4YvvLlk08NsyTzTNd67jJyZ2WvlGpidFlRvp4UtEyvsAEXB7nLg9QPv4L3DnwIAlu94Du/u+xy7s2nhTZ0nkZuPLj0DYVdeDYIk4XQ7BaGnhKeeReq7H7AKzUwlYaAyAKqYWCiCeTPFOrE3BoBknpgyMgrn3rcKi4ddAwAoNVWA1GhBegw9t00snaCdOFGwrB/B5RvpJbxfAdNnQBUTC03KIAxaw2l9MbIKbqsFiogIkeHWXfhegaKWEqw/8Qf2V2fjYG0ODtbmoNjTcml+4jkYEkzLRnRXPmOgcLxJ6DkYGZbhY6SfnlLnmaxJFQz1F3IlinyGBaeJ1k2MFGtpRekjMC9hFttTlYHJM/UzcDgrjCmKotBqNyHOEIMx4SNwS/r1GBWWIRDaczY1wdl8ZunkxOq5ByoTkrA4LdhUSufvHG3IR5vDjP1eYZmqeiucLgo7cyrhdDth9xgiTB89jVzN3hgarI2ifnp2r9Di7qr9ALiqp2h9JO4dfRu7nfFMaeQa2F12OD3VaUkVdszMNAkSOOt5bXIUnjYvhLr9xtOrs97H/VsfZ408Qi4HIZfjaH0+Psz5Al/l0XlJkbpwdntn4Ifpgs6bj4Rnn4dOZ8S4yNEYFpwGq8uGzJqDiL5nKVyBerinTxB4Cd2UGztVXBNlp1YlOH74v66HYeIkaAZzN+a2bO5/RapUiLhxMQCg6v33YK+ugtti8elN6w5Wp1B2obhFWMjBCN+q5WooPZ5e7///mQZjYF42aCFem7kScYaBXwXc3xlIIphBKiPuHLkYa+a8hAAlXdQ0Oiod1w29Ag+OXYI3ZnItpqZEjQdJkLgs9UKBsbX28Gen/Lz99Iwz3phyU268mrkGDrcDBgWdwzI6PAO3Zlwv0IYpfHApCh9YerpOs09YNOhCwfKSTQ+jsFk8wyv0rnQkaOOomarGvVuW4b6tj6O6rYYN140JHwmDkjaAMmsO4tMj3wh2t/tIQGaMJkDYrken8HimPH/Vds7gGJVvQQHPE7C5bDv7Wu70GFNKoVCpNyea6aTQVgeXY2V2mPHWwQ/YJGJAOhQcdN58n8cNu4bzcipCwwTeKqWnUufj3K+wVVGGty7QYmXhJ3h0+zPYVLINALCvKgu/NezBm1eHYecIHT46X1hNKjcEIOrWOxA8/wJ2XcQNNwrH8EQ57ZWVoOx21hPWG5g9IawpHm9iSWu5YHuLnTZ8tXI6hEuAQH5jAZZserjT4eWBBmNMhWvDRCK5fnqXlVOWAQCONRzvYOTpg/kNXJO2CCNDh2P5xPvZyt9FgxYCAOanzgZJkEgKTIBCpsCaOS9hzZyX2OIFgiBwvafPJyD2+LspN+xdFDT2c2o546URzE4L23tPr9RJjjlTb/qMkcLn7YPiqsYmW7NAOoIg3aAAFMk4GYOs2hwY5XT4i6LcUMk4L8r+6mzcMPQq1jj19aNX8kqB+flqTEsWjUQib0mEArk1h9nlzaWcMaXwGFOfHv8Bt4z7t+R78r1mJnsbjKpAZFZnS+pvGZScMRO/fAUcDQ3Qjx4jeVwAUIaHY9Ca92DKzmLb0XhfEwBsKOLkCkyONvxQsAFz4meg1kKHF90kgX3pOvYcvb+n/JYzulHC89EOHQbDpMlo3b0LzkY6NEB24KnrLG7KjXJTBeSEDOMjx2Bn5T6fY5nr5YfOX81cA4vLhmCVETenXyv5/x2IMMaUnDzjb5+nnSC1EcHqIFhdto4HnyYYT//wkCGYFjNJsG185GgMDxmChKhw1Na2Su3Owp+MxXvkbSrbqvHfrPfQajfBoNTjuSnL/QKx/ZQz3jPl4D3Y9QppY4rfy+xMMqz4Bk9HfJz7Nbcgc0IecxwWkovbN1gb8Xk+Xba7s3KfKGeI3wPQ7u64NF4q+Z/JnbLLuWPL3EB+Y4FwIEVh7q4WJFXQ75Pd5FuY9ChvRttqN4GiKHyU+xX2evUsfGjc3QJjT52UDMPYcR1WxJEqFQImTupy5dy2sl3YVbmfXV6QeC4AYG9VpmisKi4OAO0l8/7cCYJgk9idjXQItLeMqbLWCtRa6jE6fCRSjcmCbQ+Pu4f9PZEEiYxQWvKBLzFS1FKCqrZqHGnIw98nt8JNuUUh4YGG0+3EHs//yG9MnRpUMiVsvWxMWZ22drXTOgu/WMdXs2utxKTWFzcMpXu/6pV0FKWgqYhNr2i1m9Dm9Dd+7q+c0cZUa2M9Ps7mSuul+mc5m5tQ/Phj7DJlk/7R2mtr4HYMLP0cgiAwPsK3ZwXgQlv8vCRFTAEUMcKKrB0Ve0T7jg0fyb5u41XcMGE+g1KPm4dfCwAY7ZWka/DcLPitbzRyDUBRkLsoVIQpQCiVULjFid4qO4VhRXSSs5MEKJLw+ZB+35O0DtBhPimpiOUT7u+ZWKgElW3V7W7/Nv8nNpn/gbFLkBFGGyMNEv3tFMEhmPTdVwi9/ErRNgCQaehQQdNmurqxt4ypZk9z6hh9JAiCwMKk89htCQFxWDbhfjw87h68OXsVNHL6Pe8ZdRtemPaE6FgkQWDlnlexbPvKAd064/fijWwFq7sbTbn9dB2VTIU2hxnf5//SLYV9iqJE+32Y8wUe2f40W3zTFSxOC4pbSkBRFFtckxQQLxD17S5M9eyOij345cTv+CbvR8F27/xWP/2HM9aYcjrsOHTTbZjwA524ODIsHdH6SNG4Ip6CNQDYq+iEYJe5DZSTnnW07t+L4sceRvVnn/TtSfcBNw2/GnPjZ/ncHstTS2cg9dIPO3cbPfOaH073ubtx2NXsNhfvwcJUzs2ImYyxEaPw1KRHcO0QYW88jVyNZRPuw+0jbmLXaRUayNwASQFGfSgIpRLh9XYEmOhj355xI6ZFT8TVSVwOkcPjxXpo25OSXkX+zLHVbmLzvhhWz3pB8nvRU7y9gjNipkiOSw8ZigRDLOvl8VUGLlOpfCrNs9WCHlkEUtM7IpLMzJ05t/lJ5+CJiQ/g2Sn05CNQZUBCQJxgH6VMgQClAUki45RAtbkWrQ4Tlu94TuAxHii4KTf+KN7ILif0sgHuRxpG62xL2Q68tP/NLu+fWXMQy3asxM4KOkxtcVpwpIEWzGTWdYXVWWvx8v638PTul9iqu6HBg7t8HCkCeKkGf53cLNre2RZefk49Z6wxZWqhZ4/hjU4EmFwoN1VKjqPsQm9T5fvvon7Depz4zxJUrFkNiqJQ+S7dG6p1186+Pek+Ym7CLNw47GrWhImt8QAAIABJREFUhcxHK++8F4PU0bM7I0kLnbrdBK5IoY0kJ08OgfFMMUnmYdoQSZXoGH0UQjWcDIFGroba5vEwadWscfCv3xowJWo8RoQNxzVDLsPIAO7G5fQYU1aXrcNQwI8FG5BTf1Swrq/yD24cdhXkBHfsiVFjQIAQ5Q3dOXIxZKSMNVi6UxKtCBM2M9YOpb1cJ1tKsf7EH+2G1kpaywRSFnwYw46fwxWpi+hUi6JbM27EgsRzcf+YuwCIG27XWupRbZaWneiv8As1XpnxtD/5/BRRxKsgbbI1dzlUnO3JufzbY5zwddC6eiyKotgijFpLPUo9r4N597GeICflmBotlEtZkDQXl6QsAACEqnvnffz0PmesMWVu5sQkL/+7EVcOvlg0hqIoQCZ8mDqqq1H/M+1abTt8CK5WLmlQZpCOifd3dAotJkSOkWzLQFEQiWjySQ8Zgjlx0wXrXE76M3tvfS6+/IUOZ7XaW7EzpxLL1u6GyaOnpCSVaG6z460fD2PbwYoOz1Mr10BnoW9uNp0KcNEPeaWTwqKoOew4vvaTlddP70hDPgC6NYwv4dFv8n4CAKQak3Fbxo2SY3qDUE0I5ifNZZfjDbFYNW0FHh3/H3Ydo0cF0IanjJDhRHMx1uWvx+sH3hHIQLSHnCcgqh87DrK0VJxoKsZL+9/Enyc3YXXWWkmvXWHzSby4bzX+s+UxPLfnNTTbhAmyjDGl85Fr2B6BKgMuSJ6HEA1teHlPZp7b+xqe2f0yfi/aKLV7v4RRuL5zxOIzJpl+IGJ12nCoNhebSrbhsyPf+pwMMIR4DJ06TypDo5XzvPPTGzqDdxj+5xO/AQAClb3X1/WSFGEF8fkJczA3YRbCtaH9OhH/bKdTxlRaWlpkWlraB2lpaZI+0bS0NDItLW1VWlra42lpae+npaVNkhp3KgkM48JXcgfBikzycVutgMsFzZChSH7lDciDxVZ/w4Zf2NeK8HDR9oFElD4CKpkSKYFJrIEUZ4iGifcMdVQkCfZRkApRsrjdRnuDDuTXwmWnZ+etjjZ8sOEoqhrMKKqmvSsOO4EtWeU4kF+Lbzd5JZFLICflkLnph34rZYV+7Dh2W+mDD7DtY9oOcnkDFhUX+vow5wvUWeqxbMdKfJr7taDVDWNIyjzeohGhwzAyTCz22Zuo5VyojyRI6JU6BKm4ljXjIkcLxg/1iF5uLtuOgqYiVsOpU3gmBYrgEDyw7Qm8duBtdtPxpkJWXJPPMY/xCdCNVndV7hVsZz1T3TCmGIyqQMnfHsOGoj/xa+GfksYeRVFYd3w9Vmet7ZVk4d4iPkDcl9FP33HjsKsRqAzAkCD691HUchLvHf4UPxRswJ6qTGTVHhaMP9lSig9yvmCV6pnQmZtyw+ywYF91FgB6kllrqUeFqapDg4zBl3honES6RHfRKrS4OJkzqBjveaAyACZH24Bor3M20lnP1DQAvwCQTtoArgQQkJeXtxLAIwA+S0tLO631mzpDED6deCfshAw2lVFyjLuNfjgrgoIhN0qPadrEzZz5TXIHIgFKA16e/jTuG3MHLklZgLtG/hvTYiahuJ72LlF2FdwmYQhHRshFxtTXGwuQXUCX9cOpACgCzVbOInNR9I/9678L8ct2WuPJYuv4BpASmAiZx+uuUxsQufgWwfaG3zfA7bCjeesWdl1NuDBMedRjIGTVHmaTNa9JW4QnJz3kOTf6pqk5Bc1pR4YOx+iwDNzBywuTkTLckn49Hhy7RDT+1owboJZx1+OtJG51Wn1Wm2pSBgHwLWDaaBPOqG0uuyiZ9dfCP5HlCYkcqc/Dbk+1YU+MKYA2XBm8vZwA8EfxRoHnyul24qtDP2N19vvYXLodeY0FeGT70/ji6Pc9Oo+ewJf7COhFL4SfjpkQOQbPT3uczW1kOhYw8DWobC47Xtr/JrJqDuHZPa8AEMp1PPTPkyhuKQFJkIjVR8NNufHc3tfwUe6XHZ5Hs62FneDww21auYYtqOktJkWPE61jqgX3VmX5Naf6IZ2q7c3Ly1uXlpY2q50hFwD4yzO2IS0tzQpgOIBDvnYICtJCLu87e8vhdKGyvg0WmRpquxmhoXpRAq+pmZ656EKDEBZmQH5D+y5fOdwIC+vfN9KunF9kBP2DHR44Fttq62A/MQKEUuhGPl5TjaEjubJ4Zx2t9rx6HfOvJSCjVKhs5nJ9jlRUAnrQhhaPkBA9SNKXPU6zfNoSHNv4HEbFD0dEXBiK9Xo4PR6p1p3bkbBgrmD8Hfe9hsSa/fjyEB2++6dyF7uNkNOW2cTkDEQHCAU5E8Mj+/x/GQYDHou7S7R+Xph0MjoATI4fg81FdG6elbIgLMwAu8uBK7+9EwBw3chLcdGQeaL9dPcuQdVvf0B3wUxg2y7RdkLlFFzv4h/vR5tD3FPun8odmDd8CtZs4vTI4qPCfCa/d4bhRApA5/tiSvJoVNuqkVuTLxhT46rC6DBa6f2vgm34+eif3ofBrsp9uG/Gzd0+j+5wqOooVm5dzS7PSprcZ9+b/n5v6W26er3htUFAKdDsFuYV1thq2GN9mrVO9B72MnF7IzflhlzB+RKya3MQFKKF3CuHcvWujxBpCMfE2FFYtolWLg/WGPHMuQ/grl+XA6C1DDtzLV253jAY8N1VwsbJck9Kw5fHvseW8n/w+oInO328rmK2W9BiNyFSH9btY5xt3+feEkoJB8BPuGjxrPNJY2Pf6mU0mWijoFQTgfTWQhTuPoiAQSkAAFtpKSrefYv1NNllSpGgmnbYcJiPCJNmbW2WDoXXepuW3TsBgkDARN95TQxhYYZunV99hRq2fPoBTzmFSbVNVAVsJm5m5ywbJNrfYScBBTdTanLWQQbAbaF/TMNbCyF3O1FU0oAAXftJu6YGOpxjsVOorW1F/FMr0bJzO+p+XAdt+kjUV9AGb/QlF0Ezax5a3ApEyLm2OeUtnGbY/xXSAp/mFhdqba0YFpyGIw15SApIQAQZfcr/l50hUZMAgDamKltrUFvbipO8EN13hzdgcojEd0EVAMOlV+Lngt8kj1vZUI/K6ka8c/BjROrCBYbUrenX4/0cWkJEQ+pEn0tdnQk9IQhhuHn4tXC6XYiSxeKu9FuwZBNdRXtR8vlYX/gHimrLkS3Ph8PtQGmdb1mJ0so6Qfi0L8mszsZHuV8J1iVqEvvke9Pd3+5ApTvXq3TSeWp/n/hHsL60qQLHSkqQU38U/8sX5uBV1zSL1jGEK8ORC86o/+7AbxgclIKX9r+JS1IWICEgFttL6MyWrDLuWdBgaYKjVTi56OhaeuP/29zG/Q7LW6uwM/+goBF5b/LY9mfRYm/FA2PvQoQ2HG9mrcXC5POglClpFfcONNbO1O9zewZibxlTNQD47xLgWXfaYMJKx3VxSG8txMnte5HhMaZMh7LhqK4G8/iX6YQuWkKpROz9D6Fl5w5UffQ+u55ynFrXqvVkMao+WAuADuMoQrs/S2iPA/m8qiqnEs+OfxqPfLMOypTDcDVE4tPvG6HxyFV5G1sAADcJirQCoAAQIDStoOwqwKmEymXHhdW0UWOyXN+hMUV5ks4JTw6Q3GiE8Zy5qPtxHZwtzXDbaSNZrtdDpqf/bynGRFw5+BJ8l/+z5DGZMNWtGdejwdqISF1EZz6W0wL/3CxOKxqtTYL+eIODxMYsH++cDoNSj1a7CVVtNdhZsQ/HGo/jWCMXFrlr5M1smyUAyK49jD2VnHDonSMWd/ta+IyNGCVYfmHaE7A4rVDLVFhf+AcarU14NXONoCG1FJ8c+VoQNu0r6i0NIkNqTtx0jI0Y6WMPP30N00ibYVbsVJSZKlDQVIQVu14QjY/WReKDnC8E65IDE5FgiEV66FCkGJME7am2lu1kE8p/PvGboFfeieZiwXH4gq0XJZ/f7WvqCpcOugBFmSfZJPQ3st7Fmjkv9ep7mB1mLNuxki3geffQJwjVhKDUVIF3Dn0MABgdPgK3pF/X3mHOSrpdzZeWlqZLS0tjnu7/AzDZsz4YgBpArq99TwVhRg0unJ6MiVPofI2WOs417C3MqQgTGilRd9ChGUWE8KHrMrfRSet9hK2iAuY8Ts3bUVsr2Haq0KuVGBkyCtacyXAUpQNOFVxNYaAsOlx3zlDxDhQBN+GEMo3OsSEUdozPMePc2r24P4mbnZhaOpFE7NH2ImTczYpUqUBqNHA2NcFaRPfpk6mF3omZsVMk83EidRFsAqdSpuzXhhQAxBqicXXaIjbZts5SL1CU78grY3VaoZIpMd+jqD4vfhZ0Ci0yaw7i2/yfRONTjSmifI/Pjn4LgG6PkR4q8f/uBQKUBkRow2BQ6qEgFciqPSwypObGz0KG1/vn1h/rlnBjV/nN0xgcABYPvxZvzX4Rl6Ve2CvCjH66R6AqAG/OXoWFSfNwQdJcLBq0ULJCWSlTQq/Qwel2CkQ5Z8ZOxdLRt+PywRdhSHAqFKQc8xJm49JBtG6dd17hHoluBABd4cwnVKKnZ18Qo4/CqzOfFazr7Y4CPxzfIKiEbnOYBZ5xgJOa8COks9V8MwFcDyDKU7GnAXATAOY/+x2A1rS0tCcBvAzghry8vNMqDyyXkbjtkgwkxtEJ1WHH9qIth/4SuL20pdTJtMcqZukD0GWMgHYIbYB5J6U76+pQcPcdAABrUSFbXdZbnFyxDGUvr2KTjAkll3PkqJLWyeoutU0WrF2fi925dFgszMglLivkJG44Lw2UORBw00aNPX8M7hp6N1xe+c9pcUaQOtpgkgXWA6BAkG5MPVaPcc3HoGviQjbmerG6Nx/K6YSziR5DeElWyAIDYS8vY2Ur9Ckpov35HhxGA2ggagFNj5mENI8H6o2s97CphAtrdOS5MTut0Mg1mJ94Dh4YuwSz46YjPUTaILpjxE1QyhQIUhvxxMQHRNtPxYybJEhMiRZ3JgCASwYtwB0jFuPVGc9g9awXEGeIgZtyY9mOlb3y3i63C/9XslWkyH6ypZRNvl85ZRnGRYzqUc6Yn96DJEjMTzoXC5LmQkbKJFtmPTh2CRSkAjUWYaL6pMixIl25i1Pm49z4mUgOTPT5njo5Xazy/NTH8cqMZ1ih4VszbkCqMbndatW+IELLZdCYJfIee0JFW1WHYyhQONFU3KvveybQ2QT0rQC2eq1ew9vuBl3F1+9QatRgHj/lb7yKmPseFAh1kjodZFr6x6JLz4AunWt7Qmq5KiZ5cDCcngR1Z3MzSp57BgAQt2wFNMm9G7e2V1ai5Z+tsFVy3ihHfX07e3Sdd3/JQVFlK3YfoY0drVqBK2fHornNBoIgIJd529kElAoZrF5VeRkpISjhp78pbCDdnMVlOsD1nzM3+W4j0mSyIW/FCgS10OdDqIQ3SZlOz4ZlDRMmImDYUFFMPs4QDVTSTUKbba2wuexQkQPPmAKAaTET8UshXTmU38SJDNo7MKasLisMSgNkpIztk2f20c+L/xCI1EVg5ZRleHzn8+w6fq/CvmRUWAa2ltF5Yhmhw3C47ohgu9ojLBuqCWFFEt2Uu8deom3lu/BTwf/wU8H/cEv69RgdTv/2t5TRDb5D1cEIUktX+frpHwTwvKpKUgGlTIkQdTBa7cJ7g1qmalfSQtOOePGq6Sskv2ujwtIxKiy9G2fdMx4edzc+P/odsmtzUGupY0V1XW4X/rOF7k6wbMJ9iNFHtXcYSfhyMlJE6yJR0VaF/MYTSDEmdvn4ZzJnfKdOhddDufz1V6CMpL9kCU8+Kwrx8SF5+5JqTqTPUculg1WufRvJq17prdMFQHuovHH76BnYXYoqhTebh64eBa2ae3hqVOJKS6WChF7DjZkxMhrhRg3sOelQJtPu9LlTg7G3Sbp8v63Bt2fq153FmNjCebG8vYL8FimBM2ZJHmNG7BTEGqIRrgljy6J1p0ACoS/wVoyfnTQFm4t2Iq+xAHWWBoFyPB+b04ZwTahg3aJBF+JwHa38Hqg0oNnzoPF+QASpjZgcNR67Kumk21MVvkg1JuNfQy7HIGMygtRGvJq5BpPiR4nGXZA0F1k1dBXpwdpcZNUcwjVDFnVZQPOf8l2seCvDBzmf4+KU+ahqq2GbYD8x6cFuXpGfU0W8gTOQXp7xNJxuFx0KJwgwiggKUtHh/zJaF4ncejrF4uq0S2GymxGpC8eQ4EH9LrSrlqsxIXIssmtz8Eom7dMYHzGG1akDgOf3vt7lfCq+ftWKSQ/haEM+dlfsQ6mJntRPiRqPydET8Grmmk41sz/bOPONKa34Rsv031PGxIAgff9QCJJE7IOPQGYw4OSTj7PrHTWcMaVNTevFs/WN29J31Y9x4XqBIQXQTZJJgoCbp2ukUsgwc1QMSJLAxGERUCvlyCtphKsuFg51GxTRRWhWFELplDamsg+V4JwrKZASIRO1Qmi8MbpJDDLe/1Ee5LudCeOuZ3rwGQawJtDD4+7B1rKdSAsahPOGT2UlE57ctQo3D79WlNTtcDvhpFyi0Ee4NhQJhjicbC2FSqbCzNgMyAnpn/51Q6/A1OgJ0Cv0p+whQhAEpkRPYJcfHX+vZDVQlC4CiwYtxI8FG/CBp/ows+YgHh53j6hHoC9OtpSKDCkGvkiqQaEXJBn76Z8w3qYglRFyUs7+z+4csRhvZtPFQyqZUjK3ig/TvBoApkRN6LM2U70F43Vm2Fd9APuqDwjWZVYf7HTBBEVR+PoYnUIxLDgNEdowRGjDMCt2Kppszfip4H+4OGUBGxLfWrYDkyLHIkI3sIWse5P+ZXL3AbpAPXYZpZWu2zOkGLRDhkIVI3QPCyr8Oqmc2xGU2y1qbcPHlLnf57Yuv5eX8OPgWOlQxj2XZSA2jAt1BgeoQZIEZo6KgVpJ37T0Wk8YjaI/y8PN2ZB7GVNKz+end1lwsECYx8CgkHP/i8AZM0HIvR5kPANMESL0vEjBCPUlBQ7cZrQJAXG4YdhVmBg1FgqvkNuGwr8Ey7XmeizdQns01RIhi0WpCwEAC5PPw5WDL2GXpUgKTECY9tR4pboKv8KKgd9rDRB/vxkcLgd+KvifYF20LhJPT35UNHbx8Gt7cJZ+ThVGVSAeHHs3Hhp3t2D9kOBUPDd1OSK14bg89aIOj3NewmzICBnuHX1bvzekADps2RHeFYh8qs21+PLoOqzc8yo+yPkCmdXZ2F1FP2O820cZVYFYPPxa6JU6tt+qzWXHG1nvdf8CzkDOeGNKIScx9b7b+uz4lL135BKsxUVsL7q+xu7kKkCSogw4b4L0rH7koFAsvYKb2agU4puMQUs/5Ak55/ZVeBlToZddDgAIdJjQapb+vJS8Y3s37gUAWxkdy9cMGSo2tCS4Nu0yDA0ejNFhGR2OHSgs8FToAUCL3YTsmsP44PDnMDvMeGr3i+w2qXYTg4xJeHP2qgFf2q9X6nBZ6oWCdQRBILf+GOotjThQcwgP/fOUqALJ4XJg6dblON5EV4O+OuNZXJKyAPeOuR2hmmD821PqPdiYgpenP4204PYlKPz0H5IC41l1cD5GVSCemPQgxnu1bZIiPiAWq2e/0KH0SH+BP7niS5ssSDwXj46/17MknlS4KTd+PL4Bz+x+GTsr96KyrRpZNYfw8ZGv2TH8xtLehPCanLfYzzwdqZ5wVvixB8UE4g9DPJJbOQ2eoHldq1Qi5HJQTvFDyt0L2lP2qiqUPk8XRpaMmI34Q5slx7ltNkEeV1ehKAp/7i1FRR0tURARpMETN0pXUjEEB6jxyLWjEWaUzkthcqgIDSd74G1MaZLpG9S45mNoNEv/AGXgDDzjuXNF2/VjxqKhvAzGWXNE26SYGjMRU2MmdjxwAHFB8jxYXFZsLt0Oq8vKCm02eJV0l5mkZTT6W+5Hd5kTNx2To8bhwW20ArS3twkAPj3yDVZ4WggBwA5e38ErUi+GWq7C3IRZ7Dqm7U9KYBK0Cn8TYz8Dh9tH3MjmTs2InQKLk67wc0i0nClqLsHG0m3tHm9atO/7poyUYWHSedhQ9OcZcz/pLc6aT2N36jko0HLNKEMvv7JL+yc+/5Kg8S4D5ey5MdW0ZRP7en8NBTsvn6VOwcX6C5bcjsq1whYDXaG4qhXfbS7A9sN0zlh1Y+fKatPigxAcIF3twuQ/uU1cqJAxprTpGYi+ZylIXk9DbUme5HHsrbTMRJ4uHqRCXIEXcsGFSHjmORjGtW/8nelcnnoRxnnlSnl7YW4e/q9TeUqnBY1cg5VTxIUaDGanBX8Ub8TXx35AhakKeyvoPoTXDbkCs+KmisYTBIGM0GF+Q8rPgCNEE4y3Zr+INXNeYnXbAAj0ohiO1B8TreNzxeCLcU78jHbHzE86h81NdVNuZFZn47XMt0W9RE8FTrcTe6sOdLpRdV9y1hhTrZQcx3V0OEsRHtGpfCk+iuBgqBMSRet7QxWdLwRq5yW91isC8FXMPJzgGYGte/d0+32YFju9zet3T8Wqi29klxljSpeeAf1IoUaPUyZ2hjqcbmzZRee9WH3oQhFyOVTRvdeZfSAzsp1y7NWzXjhrSpaD1EZck3aZ5LZWuwm/Fv6J7RV78Nze13DSdBIEJcNkH5pWfvwMVPQKneAeyxhTmTUHsaNC+Lw4UOuzXS4AWu6hMx6nQFUA3JQbP5/4DR/lfoUTzcX4tfCPbpx9z3g18218euQb/HlyU8eD+5izxphqbLXhcMAg/BY+GeGL/92tY+jHim/E1hMFsJWWSIwWYq+u8qme7mzgKkkchBzbQugY/4aIaTDLNfgrbILkfl2l2SQsZz1/Yu8kZwfqVQg2aLBi4oO4IGkuxgTRoqekUhyS/Cu7GodOcNdbUN6M21/ZggAnHSY0yfyegY4YEz5CUoz07lG3DIjk2d7C4XTjo8/bYDsyEZSLvu7LBi1ElCJRcrzbedbc7vycBdyacQOuGHyxyPhhNLPclBtfHftBoE1ncVgRrA7Cqmkr8Mi4/4iO2VHVI4PZUy29sYQLGTJacX0JRVF4bs9r+LngN5SbKlldrNx66YjHqeSsubssnJIIN0HiUEAqyPjuiWwqI6RbkZxc+TQA+h/tdoj1N2zl5She/iiqP/1IvK2iXNBQ2UnKsN84FC+n/AuVarpqrUWuE+3XESaLAy9/nYXCCq71hrdn6vKZYhXxnhChC8eCpLkYGTAYgFB4s23afAB0SuQb3x9k17/3C61PpXPRIcdWuRZLV//D5nX5kcbulQ9xx4ibMDR48Gk6m45xutxwODvX+sLldvusyONzsprOv3ObgmDNnAvLgdkIMKfB0UyHnB3lKbAemsaOJxSntremHz99yaiwdMyKFYesvSdU9219HPWWBry4779odZjQYG2EQalHnCEGcfpodmI2M3ZKp997UpQ45QUAasy1kut7izpLAyraqvB3yRZUtnG6hMUtJYLWQaeDs8aYumR6Ekam0OXe320uQItZaPQ0m2yw2Tsfdw2/9jrIAjwVJJ4qvKa//0LBnbehLTcHpkPZ7AOhdc8u+u++vYJjNG/bipMrlrPLbhBoluuhlJNwEdwPguLNPDpTyQYAe45U4+jJRqz8jC533ZJdjvU7igVjSLJvWmQwmlikmsuzIjW0x0lOCT/juNLDiLHUQObpMeUiZGgxO/Dd5oI+ObczBSa3J1IbjnkJszGkHxtSZqsTt728BQ++vQPNEqFmt5vCL9uLcLS4AVa7E0te34a1P7ff/6vZZMPzn9O906amR9IrnSq8/XMuSnPDYMsbA2d5CiirHrYjdEItYfatT+bHz5nMil2rUOLpHsBAEATuH7sEr8x4BqumrcCiQb7lUryZEDlG0IJnsJGemFe21fjYo3coNXHXYHMK7yWM2O7p4qwxpkiCQJCB9pRsza7A0tXb0eoxqL7fXID73tqBJz7sfD6SYcIkxD/2BABA7WknU79hPQBaZb1i9Rto2UF3JLdX0/2OWOPLQ9O2LYLlV1OuhVWmEsS/NSraeCpVe5TaO9kjzO7kjBaz1YHP/uDcoNGhOiy9YkSnjtMdbOW065VRmgcAUkHH8WW8xpyO2lqcX7sb15X/AZI1puivJD8U6EfMsGBaLHZ6zGRcnDIfin4sMJmZT99gW80O7MqtFm3PKWrAL9uL8PI32XjxqyzYHW5s2F7k83gf/u8I7ntrB7scF05PQFgoGdzN4Rg3JBKJkQZcN20SjDXTYD4yFodOSOuc+fFzJnFN2iKMCZe+x1+cPJ99rZQpQBIkDMqui9QaPHpUo8IyMD12MgBg7eFPkePpttAXlPIMQqfXxDxAKZbHOJWcNcYUAKhVwi9LS5sdBwvq8PseOueprrkL1QgEAUVYGAi5nNVAUiclCYbYyugqK2czrRor0+kF2ym70LJmvFFDE+gZdFJUAJ5cPB4EgC9j50OdMgiU09lhCKTFbMf3mzkhw7vf4Brlzp8Yj5W3TMSIlI6FL7uLraQEpFotaNUj8zRtZjxTFpsTzhb6cyEAzK/dDYAzpgDf4ot+gGuGXIbFw6/FDM9NrD/D1xbLLxW3FNqZwzXxPlnFSWcw///iqha0Welj1DSaseOwsBmrQavEqjsmIyaUC4eHBqpx1yXpWHHTeMwaFYPRkcMBtxxvfH8IWcelQxFltaZOhyL9+OnPTIuZhH+nX4d5CbNF2yJ7SbV8UepCzEuYjRuGXYV4A1cclFlzsJ29esaxhuPs610VdKTn3PiZnjWn93lxVhlTGqUwlnyspAn/Xee7uqGyvg0ut/DmGrzwQihjYtmwlcwQAMpuh9tqEXhiAE5hnWlfQ1HCY/mqBLxl4TDceUk6ll8/FuFGDfsVOVJpBigKlE1o9LXl5sCUxbk4M4/5drVeOqN3mzJL4aivE1VMypR0XN7ooB+WG3YWw9Umzoty876SLW3+/k++UMmUGBcxqt9rvVhsTqzbwhn2JqvwO+90ubH/WC0r/srnuc8zcc8b2/DMJ/txzxv/oKS6Ff+XKWzEqpSTGDckHEa9Co9dNwajOMx3AAAgAElEQVSXTqcnNNeckyoYt3AK137jnZ9z4HS5sftIFWwO2rg/drIRKz7ci282Hhe0UPLjZyCzMGmeYJkAgRFh0h1BukqoJgQXp8yHSqZEqCYET3p03eotjfjj+JZeD7tRFCVoxMz0DGQMuQar796vp4L+GxvoA0IDhZViX/6dLxrjdlMgSQL7j9Xg7Z9zcOmMZFw4JZE7xiWXIfQSrhxbP2Ysmjb+DXtlJShvBXOShLW4CG4TraHEVzh3mUxw1HIz5NLIIQCAeePjoFXLMX6IePbQqKD7zNlraqCO5x4O5a/TTX2T5tEWekF5i2hfBrmsbx++FEWBstsF+VIAoFQr4QAwsekIqlQhMBpSYW2qFO0/ZlgUjnuKI6sazAjUd1+k9Ewmr6QRn/x+DPdfNcqnoOrpxO5w4UhxI4wG2ohmvndWm/A30mSywU1RGJ4UjOoGM4oqW0GAnmPyiycA4IUvDrDGzzM3T8DRkkacMyaWzf3TqhW4YEoiZoyKQaBOWO2oVsrxwm2TsPKz/Wjz5HABwPDEINx20XC89HUWAGBzVjk2Z5VjxU3jkBh5esMGfvz0FH4yeoIhDktGda+SvTOEa8MQoDSg2lyDjw58CwAYHzFakLbSE2y8qkQFKWd1tJhG5zZX30j/dJb+Pa3tZSYNj8C0jKh2xzS22rDFc0MFgL1HxDkefJTR0QDoqjxvhXRCoUDzDi7Exje2zHnCuPKB+EkAgIumJore457L6JYoDQr65s54uuo3rEeLJ7kdoNXYLTYndh+pEh0DgKA1TF/BeNsIpfBhFh7GPZgurv4H+evWo+GzD0X7x0Rw42qaOicqejby/oYjqG604IUvMk/3qUjyyR/HsPqHQ3jzBzqR/PyJ8QjQKWC1c78Rs9WBl76ijZiQADUevHo03lo6HedNkJbsYAwpAIgJ02HuuDhREQVJECJDiiEiWIu7FwnbC+UWN+Le1dtFY9/6sf0EeD9+BgrnxNEinHeOXAydQtun72VUBcDk4CIOdnfvVdB+euQbAMDo8BEC73Gr3QQlqfAbU6cSgiCweMEQ3LxgqGibUU/fgB96Zyc++zMPR082AgBCAqWVvxkUoXRekLOxEeYjdGkmo5Te8OsvAq0lysWF+VyMtwpA+A03od6tQqBOCa1aHO4YEk/nUDHGlKO6Gs7WFtT//COq3ueaTVrKK2C2OkFR9MMmOlQoqZCeHNzutfQGlJ2ePZBexhSTgM4wt26f5P5tagP72mTxl7L7wmKjjZImk71f5ZY5nG6YLA7s9iSaN7bSNziSoL1DVk/FbH5pE+5+4x82TzEuXA+NSg6tWoFRqe3n800eHtnt2W5afBCuniPdf2326BikJ9G/kYYWmz9/ys8ZwaLUhXhz9ioYlPqOB/eQeEOsYJnRo+opZocZh+poCaG0oBSkhwxhtyUGxiNUEwK1/PR66M8qYwqgDappI6IQHsR98K/cNQWjUsMkx3d0Q2Vyp+p/+QnOhgYAQMhCrkt50+aN9Di1WhDmc9bT1WqxDz+GgOkzUdNkYfvceaP25Ho1KGlBNXtVJVyt4h53R59bBatn9j441ohnbp4gCBeSveRubQ+3J6me8GoJo4yJlRrOEn79TYi++16kpHPaV99vPoH97eR/nc3IePlo/cnofPWbLPznv/+I1rvcFOwOF0wWB9auz8WqL4X5FGnxnGzB4Dgjvnj6fNx1iVjpPSpEi1svHNajc5w3IR4fPjIb157L5VUtuTQd15+XhvuvGoXJw2mphWVrd/UrQ9WPn+5yqnIrvVtd8UNz3aXJ1oyVe15ljz89ZjJuGHYV7h55C16d8QwitGG4f+yduD3jxg6O1LecdcYUw4JJdM7RY9eNQXCAWpAXxefoyUZU1vsWkGQbD/NuujKjke39R9ntIORyyENCQXn6B7kdDjT8tgEAoAgJxW+76C7d5T6EKplZeIucdtG27tkNt1ls8dtqamDyyD2olDKQJIHpI9oPa/Y2rGfKqyGzTKPBoHfWSu7TcNtyGGfOgn7UaIQGavDCbZPYbW//nIN/Dko37m2PNqsDn/x+DDmFZ57EQkOLVWBA5RQ29JuHfn5ZM/s6JToAEUEaDE0IwvyJ8awXardX6HzVHZNFoblAvQrjhoRj5S0T8cY9nPDmnDHtG+WdhSAIzB4Tg2vOTcVrd0/F2DRu0jFvPN12qr7Fhsr63plZ+/FzNjDImIzkQC6fd33hH2i2STe37yy/nvgTzXb6GDF6+nmmlqsxNGQw1B61d41cA7X89ObXnrXG1PQRUXjn/plIjaXVkoMMKijk0h9HQXmz5HqA7vPnjUynFxpXAQEgZDK4zWZYi4vRuouT3ZcbjdiVW8Wegy8ev2GcQLyz+puvBdvlwcGQ6/WsQcZ43oYmBmHhlAQ8eLVwxtAT6n75CRVr3oRLwqBze4wpQiW+FlKhhOF8sTCcLsQoWDZ6fQ4f/34MB/K7pqz7+ncHse1gBV77ru/KdE8Xv3hpML2/4QhOVPguOugrWs12lFQLpQwY56dcRmLZ9WPxwu2T8dA1o6FVKyS/g7dfNBzh7STQR4fqEKBT4j+Xj8D18wbjnLG9Y0wBtHdv7rg4GL2KHBIiDZg1is6FfPyDPfjszzw0+ytL/fjpEIIg8MDYJbh06PkAgIO1Ofgw54seHdPu5n57gadZS6o9zlpjiiAIqLykErxDekx47ePfjgkeGny8c4FUCYmiJspuiwWklvYqlax8Co46zjAgZDJ29nunRFiDITk6AINiuL5J9uJCen+lEmFLH4ZdY4DLYmFlEZgHlIwksWhGCoYl9k6+FOV2o+HXX2DKykTTpv8Tb7dJ50wxBKSJlbpVSq/PUCHDqjuE+klv/XhYUj3bF96VYGcCVrsTP20rRGElfW2ThnGG/Me/HYXT1fMcn+Y2O979JYc18KVoMtlwtLgBT3+yD099vA+PvLsTdocLThcFigKGJwVj7UOzRHlNwxKDkRLD3QzHDwnHmMGd0zsbNSgUs3vJK9UZLp/FhZu3ZJXjvje349H3dgkS6P348SONSs7d/080F8FNde/eVNhcjAM1nHxRrCG6x+fWV5y1xlRn4OcwMQnpUsQtW4HQK65C6vsfI+GJp+iVvAeJYdIUQcI5o4juTWRw+5UWUp6z4yPnYXuzBicb7KBcLuQX02GtkID2E+elsJWVovK9tyX1nxj44cX6n38Ub2dypnwYU6Ra6IXIDkhFgET1VbhRA6VCeL1fSEhZ+CJC4rM8kF+Lm1dtGrAq2K9+k41fdxajvLYNSjmJ+AguWb+y3ozjEoKYXeW+N7dj79EavP/rEZ9jnvtsP17+JhsNLfT/urbJigPHa9lqO6UPDy8ABGjp//Wl05Nw5yXpUMj7Z2NmrVohCDcDQE2jBZsOlPvYw48fPwyBKoNgucXevVDf2we5frZ3j7yFDfP1R/zGlASjPdVEM0dxVnBZjcnXcGiSkxF83nzBTDxw2gyoEpMQfv2NCL/mXwiedz67zVFD54xE/vtWwXHaewgB0gZSY2AkSmpMsJO04aekHEhPCpY0Jjqi6pOP0LpvLyrWrPY5hlEtZ7CcEPbQY1TdfXmmSI3wGv4OneDTiFR6PWirGzqfv0K56TCrXqNg84mYcvc3vj/Ubh5cf4UfyiNIAtNHRmGEp98kAJisPfOaeAvUSlFY0YL6FrGH0O5w45VvaJkDbz03Ptecm4rrz0vDBZMTu32ep4qIYC3efWCmQFndl4fajx8/HKOjhVGWOktDt46THkIXm/xryOUYGtJ/+48CfmNKkukjo/HU4vGYP4lLpNuRU8WWeXcGmV6PhMefhHHmbPxzuAov5pAwXHw5AMBWSreZ0Q4dLtDL8JWzxRAZIjY65MEhIADOmHI72PLuruCyWGArpnNxLPl5cLZKh8n4IUoAqPvhe8GyvYr2uhFK6fwvUsUZU+WqUMTHGCXHAWBbiAyJp8d4Sz14U91oxs2rNmHzgTKYPdIBJosD763Phd0hFIss5rUtqW+2wu3uHwncnWX26Bjo1AosvWIkbl1I33DarD2r6qtp5HS9dGqxnu9Hvx1lG2czDEukq/DyS5tQUk1POKaP9D17DA3UYPbomD5rst3bKBUyPHvLRHzwCN2WY+/Rml4Jp/rxcyYTrDEiUselIbx+4B2Y7F2fwDo9OlXDQ8RyRv0NvzHF4/6rRmJESgiGJQQhPsIAkiBwyXSu3153Z6Wf/H4MlQ0WHKoReg7kRiObp5WRHNKhdk5UsBZfxJwnWPfngUqYLA7YPU0qlW6nqAdhZ6hf/7Ng2VErHQpjqvUY5EFBgmXGuLKXC9t+MPCbPa+LnsPqDkm+l8e+SU8OAUHApzHrpihszirHtxtpL9nnf+ULqt32Hq3BPV7l+iaLA2arA69+m42H3tmJF77M7HdtRL7bVICbV23Cig/3opT33Xtq8XhcOZvTStJ6DB9LDz1Ty9/nGn2brU7B5+GmKGw/JFasP8eTx8RIWIxICUFsWN/r2Zxq+LIiFT6qbv348cPx6Ph7MTN2Crv82dFvUWPufCFRg7URWbV0NEHfx2KjvYHfmOKRnhSCpVeMhFLBhZcykrkwSlmt71CfL8p5+5S5xGE6xmPinR8kRWSIFm0yLoRyTEd7zkwWJ+wE55lSKbqeh9L095+CZVeLuIKRoig4PPpYTE5Y657daD0gVuHmG018SJUKg956B9svfgAWmbpdY+rmBUMRHarDjJHRCNAp0eQjAX3vkWp8/mcesgt850J5FxccKqjD8vf3ILeIdj+fKG9Bs6l/VWz9sZfuq1NWa8KSlzcBoI0Vfq4UwBlTR4p9u9LdFIWCsmY4XW7UNllQ02gWbWcYFBsICrRBxbDDy5BafsNYLL1iBAbFerTPPJ/vtXP7tyu+JzATq6c+3jfgPJl+/JxqFKQclw26ECFqesKdW38MT+9+udPJ6F8d+4F9zW+L01/xG1MdwA8PSeWKdAR/n3IFF34LufhSz/HpL5Z3fpAUYUYNWhQ6NCgMMI2diZ8j6TYBZbVcztSs+ky2CrGzuO1iI8JlEnvhGv/6A3Xf0z2XIm68mV1f+fab3CBPJWPw+Qt8vh+p1iAilDYIQttRmJ82Igorb5kIvUYBo17lszzd5pA2yG48P020jlG/zi1uFB2vvtkqGn+68NbHYmwdKUM5PIieteUWN7LK6N5sy67A819kYt2WE3jk3V149L3d+GNPCbvd4fkexoXr2Rw2Jmx4sqoVH/9+DAAQqFfipvlDkBIdiBEpoTBoldCouHMK66BjwEBm7rg49vWqrw74DSo/fjpARsqwKPVCwbqTLcKoBUVReC3zbXx5dJ1gfZiGdmRck7aob0+yl/AbUx2QGmtkk3wdPh7a7cH3ADjdFAJnnwMAMJ5zLgDA7qSPqeqEZ0ouI+EiZFibcCmcsxbgAp7QqMMT5ouz1kLt7pqHpXXfXtG66k8+gik7S7CuaSMnhUB4yRm4rVY4m5sAtxva9AwQ8vZDjedPjMdlM5MlVa6l0KnlsDvckvkqvoQVZ4wUltFeNWcQxg8V64IxnOzl5OITFc34z3//wY/bTgjWf/l3Ptv7UYrGVhsOeYypUYNCsXgB1zpBKhLMF7y8783tIl00iqLw2Z95AICt2ZwA6nebC2D2GEyMQRoRpGGrWP9vH33TW/trLrvPK3dNEX2uj103lnd+AyMXqjtoVHI2f6+grBknKnzrz/nx44dmSJCwfVNpq9CYsjgtONFcjJ2Ve9Fk435T28rpvrNDgweGt9tvTHUASRJYPJ9+mNm70avrq/87zr52uSmEX/MvpL77AWRaOpn6153FACAILXYGGUliNK8Fjo3kjBsV1bXcGWejdHioLfcw3FYLrJ7EdELGfV0IuQLqZE6Lx9nSgqqP6TJWc07HTWJlJIkLJiciUN851VqtJw/sobd34ou/8lBV38ZW6W3jKaTLZdzDnCAIxIdz+Tt6jULUsockCDxy7WgAXasW7AzHS5thsjiwYedJdp3d4cLGzDJ8/meeZMJ4Y6sND6zZgf/bT99wrpozSCDmeqTYt0QHQH9Hn/88E5/+cYw1PPnl/N5evFZPblmV59pVShnGDqa/VxsPlGFLVjlrrCZEGgRtbBiiQ3WYPDwS/76g/yeJ9pR7LhvBvu5nKXZ+/PRL1HI1pkRNYJdb7SbsqtiHzOpsAECTjSt2Wr7jOazOWgurk4sSGJTCtIb+SqcyldPS0s4FsAhADQAqLy/vaa/tiQCeBpALYDiA1/Ly8s4Y6WnG0OlJ41OVQgaXm6IFPXkPJKYhrLcKc8dQSI4OwH8uG4HoMB227I4A1tHK6ooudupmkspDF10ORXg46n76EY7qKlBOJ6o+/hCmzP2ifQi5DDH3PYjS556BvaoSzoZ6kB5vlW5k76mtMzACq81tdmw6UI5NB8qxaEYyFk5JZPOuEiIMuOeyDDz49k4snELnkz118wTcvIrON6IoumJSo5LBYqP3eXPpdACAQavAtkMVuGJ2Sq9pH/GNpVazHVuyK8D323y7sQA3exkgxVXcjYUkCIQEqtk2LAAd+pTi3LGx+L9Mbsa3NbsCg+OMmDw8st1cqlazAwaNk+2VNzIlFCk8cVjGowUAS3x4EUmC6HG/vIGCRiXHpdOT8NM/RXD4q/r8+OkUV6ddihBNMH4t/AO/FXMRjrERo2ByCHOR8xoLcLyJFqWO1UdDKZPuWdvf6NAzlZaWpgXwLoD78vLyngIwIi0t7RyvYW8A+DkvL+8lAK8A+Ky3T/R0wkgW+MrN8QW/155eo4DLJZzK8hN8zxkb061zG5UaSgtc6jTYY6QfaEofxpSjoQENv/8PlJeeECO0qU3PgGHcBMTe/xAAwHr8uKQhBQCq2DjINBoEzpgJACh75UWYPInowedf0K1raY+yGnEF1U/bCgVhvyduGofgADU+enQOFs3gvGZMrktqHG0krLxlElbfOx0fPToHGpUcGpUcI5JDYHe4uyR/0RFtvIrCQyfq8dO2Qvy4rZBdl1cq9DI1mWysRwoAYsN0kMtIDEkw4qLpybh7UQYWzUiWfK8rZqeI1q3fUQyny40GiWuamkE3862sb0M1LxQ9KlVakXxqRiRC22n7cjbBGNs9mVz58XM2ISNlmBo9QbTe7rKjVUIy4d1DnwAAzkuc09en1mt0Jsw3GcDJvLw85o68A4D30zIVAJPNWgja4Opcn4gBgFxGQkYSXbp5ZubV4KP/0SrSU9IjISMJkSgiUx147tjYTntDmITtYC8BT7VSziahK1zSxlTZqy+i7ofv0bJzB9pyDrFK7G4r7fkgPdpQTL6TvUpcCs+gCKbzyKSq9kh17ychD00MEq2Li9Bj3RY6HykqRCsoX+dz1ZxBWHPfDER4ErWDDCpRuC8ogL722l5MQueLaH7+V55oe22TFWvX57Lfi+c/zxQo7TPK8DKSxK2XZGDM4DDIZdI/WYVchmW83CWADluu/fUITla1Ij5CjzfumYbwIA3mjInBtAzaw7UpsxylPEFa5vgPefXRS4kOhB8amUcja/W6Q7h51SY0tPSfwgU/fvorOgl5g2ZbK0wO2phKCkjAhclC6R+jauDcdzoT5gsHwM/MbfGs47MdwCQAmQAY8zMAgM9a9aAgLeSnoJVEWFjvxFuVChncnTxeaXUr1vyUwy7ffdVoPPzmP7A5Xez+bRYHIKOvPzYyoNPn+drSmcgvacSEdGG4J8ioQZFHHiFYL0eIxPHyq+mQoqypFuWffAgAmPrLD6isrQEhkyFqSCJIhQLO/2/vPgPbqs4Gjv9leW87XkkcO/tkLzIJI4MNhbIaoEChjLJKCSmj7QulLW0pUKCU1ZbV0hbKKBRIwybQhJBASMg+JHH29N5bej/cK/nKlrwkW5b8/L5EvrqSz8mVpUfnPOc5cREUtHl0i7F3/ZR08/mjhuTQenOcjMEDiA3Q/7vLNedOYv6MPKIj7Sx+5BMABqTE8d4XRgHUSaMy/brWeQONP9pVW44wb0Z+B2d3jnUayLVqs7XPtxzhwpMVwwcneUznAWSmx3v0qaP+ZWYmccnRKpZ/td9dC8lV/2nOpEGMGDqAZ/7vFPf5r3xSQMGBcp43V+pdedY49+/IzExix+EqXl9u1O7KGJAQsL+lzurt39dZA1uVpnj4la956s6T/H7evtrfniL9DW+d6e+rBW+w6ajxRfPSad9mYvYYPj24ivI6I91hUv5I4qJCY4VwZ4Kpo4D1fyXZPGa1BLhVKbUYKAWKAe9VG02lpYFN9vUmMzOJwsLArNCKstuoqW3s1PPt2e85fVNXXQ9OJ+VVDTzyz7VctHAk19y/3H1/c1Nzl9o5PDuxzfkDU2OJS46HYig7UorDvL+pvAxnQyNRmS3J6gffeNN9e9VFl+KorcWelExxWR1Qh6PR92rAzEsupTl/tPv31zvazmeXVTdjD9D/u8fvTjRGai47VfHCu5ryqnqmjMxg/Y4iTp2e69e1HmPWS9p/pDJgr5nSijpiou3Ue6ml9Yvvz+SPr22gqLyO/YfKwVzVOTgjgfPnjWDNliOcfexQd1s6+1o+adpgFk4dxFW/+9jjeJSNNo/PTo2lwLLyr6G+yeOczKSWVYL1nXztB0og/3YDbdwQz2/LBwqr/W5rX+5vT5D+hjdf/b10zIXYbDaaHc38U7/mDqQAmqptFBZWcu+cn7KlWBNtj6aqrJEq/NvZIZDaCxA7M823CshXSrkypOcCS5VS6Uop1xzPIOBBrfXD5vnvaa37VgVEP0VH2Wls6lzOlLfEVNcqqA/X7udgkWcg6W3rjq7Ky07iivOmAXD4mT9Tf/AgjSXFFCy5hV0/uY1dd97m9XGOWtcWIi35XDa7Z3uyr7zKfTtp2nSP++zJbV9cth6Y5rOaP3UwyQnRFByscBfqTIj1L0kxMS6KEYOS2X+0OiB5U03NDvYdrSIxNpKLTxrlPp4cH8XFJ41iSFYip8/KA6CorJYKs+bVmPw0pozM4Nqzx3uUPOgKm83G8a0S1V0bDFu1Lv7ZunBsnEclfVm65hJhs/Hra2bxLUtpElddsA07i3nxg+19rpq+EH3BnEEzmD1wOjNypra5L8OsKxVhi2BCxlhGp7XNA+3LOvwU11rXKKWuBx5VShUCG7TWHyql7gdKgPuAY4EzlFJfAunATT3Z6GCIiozgUHENJRV1bfKVWmv0MqVjLWz42SbPXKSur+Tzzh7XkiB85PlnqCtoqW/Uek+91pKPneu+bbOsNkw+9jiSZx/LkeeMaUF7kucHsD3JS85UVM+vvkiIjXIHINDxvoadkZ+TxM6DFSx5fCU/uXQao3J97xvYkTdX7sbpNIq2njx9CDnp8eRmJpKaGO2uxTRwgFEe44X3vmG8mROWFaAk7yvPGMv/LFXLve3rOHt8DsvXHyQ7LY7xw9KZMz7H4/4hlrISkmztaeCABM49Ybi7tMmmXSVMGD6AR14xFjEfKa3hlgsnB7GFQvRd0XbPL3c3T7mW2MjAfA4GS6eGRLTW7wPvtzp2u+X288DzgWxYX+OqtfPCu5ofdfAm6W1kqtqSjPzumn0e96Ukdm8EojW7ZUTIGkhZJUyZSnWrYpwjH/8TETE+NiaOjcVmtzPkJ/9HU2kpNrtnnputVd2hxGM8R656inVlZaDKRCZbRoL2HqnyK5iy1r4Cz22JXFRey/NvNutH+Sp90B0jB6ew40A5550w3Ot+eSkJ0fz22tk+H5+eHEtediJ7j1TJSj4ffvuD2fzkT59TXFHnMXK9YWcxFTUNXkcEhRBwxbiLeavgXU4dOh+VPrLjB/Rx/s8v9TNf7yzu8BzrHn6uQoanzcrjL29t8Xp+akJgIvL4/DyjRHY7UwwJEye3CaZ8BVIAEfHGiEbcCN8v9hEP/5Gm8jJK3l1G1qJLutjq7rGuoLL7WOHWVdapwmZLQFzX0MTGghKmq8xOV/gel5/G51uOMH+q75IXNpuN752m+Os7LXkDcd3YpNqXmy+YxOHiGvf+ed1xxyXT2He0ipGDQ2dVTW/KSo0jKjKC4vI6ljz+mcd9tzy6gl9fM8s9AimEaDEjZ6rX6b5QJRXQu6ijj9J13xS6K17fc+UM5ppL0GePy+bGcyd6fUxMF/fS8yUqOZkRf3iszfHk407AFh3N4B/dSvLsOcSPn0DqSad4eYa2YocO6/Ace1ISMblDGHjVtdgT246A9ITrLZWox3kpm9Ad+TktU5i1lqTx+/7xFU++sYkVGw65t1/piCtn5ixLXo03Iy2jX65K7IGSGBflVyAFRnA3ekj3R+jCnc1mIz05lt2HK6mqbfvasJadEEKELwmmuqqDaOrDr1oWMcZaRhlsNhuTR7ad6hkxuG3OkT/s8Qltptpyrvg+I//4JAkTJxERE0Pu4h+Tcf4F2GJiSF3gfUl3ZJoRoCRM8B4ABtsZxw5j0YKRxEbbueyUthsad8eIQcnMn2aMJLk2DC4qr2XvEeMD8bll21jyxGc+H2/lyjHqKJdrcEYCv75mFndcMhWVF5igUPSukYN8/w37qn0mhAgvMs3XSb+6ehZ3Pb0ap9OY9omN9v5fZ60VFNtqv71IewTDByVTcLCCWxdNZsKwtsFVIMSPG++uXD7g7G8DtMl1ioiKZtTjf/L5HHl3/wIczg43LA6mU2fmcerMvIA9n81m45QZQ/j4qwPU1DfhdDp5a+Vuj3PqG5rZeaDcY8uV1hqbHBwsrsFmg9hOjDoOHJAgU0EhbNHCUazc1FJtbebYLNZsNarHHArwfo9CiL5JRqY6abC5mSvADQ99yvtf7mtzzv6jVRwtNUoN2CNsxHspeXDrd6Zw79WzeiyQAkiaMYuIuDhSTz6V9G+d063niExKJjKl/+XJuPKmKqsb+MvbWzxWxLm0Ti53cTqd/PG1DfzgweUcKakhOy3eZ8VyET6s1fTPmJ3PdedM4FdXzwKMUigOh5NP1h9wF6V5LIAAACAASURBVFAVQoSfvjvs0AdZ60G9+MF2955vLnpfGQBXnD6G6cr71h/xsZFeg6xAssfHM/KPT/bo7whXiXFRJCdE883+cvdUX2u+VraVVtazbntL0f8zZgemkroIHa5EfVeAVVHdwI0Pf+peffqzy45hxOAUyqvq+WLbURYckytTgSLsrdp8mDF5aVTVNmIDcrN6J7e2N0kw1QWxMe1P2ZRXG8Ues9PiiPeziKQInvFD01m1ufUmOS1q67wHWa2LfQayzIHo2y6cP4Jln+91l7tIim/5+7eW8fj1C2u57eKpPPCisaI2LibSvUhFiHC0fX8Zf3lrC8kJ0e7agM/eGTobGHeWzEF0QXQHewk2NRsruCIDUEBSBM+iBZ5lII6bONCdmA5QU+99RV+1udIvOirCPc0j+ofTZ+Xz6I+Od5e2iLDZfK7kdAVSAJU1fWerDCF6ws4Dxj571iLLYKRFNJklaHYeLOeBF9dRWRO6G6fIyFQXREd5D6ZKK+s5VFztXjYfGSHBVChLiGv5s7jslNHMn5ZLaWU9n28+TG19MzWWkalmh4Olq/ZQVF7HKLMMwcULRzE4QxLK+7u5E3J426yQ7ktcB6PdQoSyT9Yf4OWPd7Q53tTs4F8f7uDDr/bz3ZNH8+ryndQ3NrN8/UG+dexQispqSYiLCmjdvZ4WOi3tA5pbVTb/eN0B5k8dzH3/WEthWcsqvki75ECEMrslGD7WnIJJS4rhkR8ezw8eXO6RS6X3lvHG/3YBsMJMVvd3n0ARHqxfvk6YPMjrwgXZpkeEs2/2lXs9vqmgxF1G6B/vf+M+bgOe+s8m1mw9SqTdxuOLTwzIVmG9ITRa2UdMaLUlyAvvapqaHR6BFCAruMLAMaMzGZqTRIzlA9H1R715dymFZbUUldfy4Evr2zw2uZsbFIvwkpYUw2WnjOau703nuyeP4oHrj21zjq9FDkKEA1eecevPxEdf2+D1/HXbi9xlRZqanRwoCp2itzIy1QVDvKxAOOKljoxdRqZC3g3nTmj3/jueWuXzPn+rjovwMX9arvv2gJS2U3q19c1tjgkRDmrqGjls7ml7xemKp9/e2uFjdh2q8Pi5qKyOoTmBLWzdU2QIxU/WYn0uMjIV+mw2m9d9+MYPS/f5mKT4KO77wWxZ6i58uv+6OeRmJnLNt8YB8M6avTjb2UtTiFB10yP/Y+seYwN360br1tH+C+aN8PrYG75tfJn9z4pdPdjCwJJPfT+9s3ovACdMblne3NGqPxG6rj9nvNfjZ87J5w83H09WWnwvt0iEkozUOH551Uymqyz3sRVeCsMKEcr2Hal0305LiiE3K5H87CTyshJ54tYT3PfNnZDDkkVTSEuK4f7r5zA0J4kJw9LdX1oPFFV7lBbpy2SaL0AmDBvAp18bb4o9XZRTBE98bBS5mYnsL/Scy09PiglSi0QoioqMYMLwdDYVlPDcsm1MHpNNsqzsE2FinW6p9v/D8ycSYbPxk0unAcao/8jcFHbsLycpIZrxiTH8/sa5ANx9xYw2z1VWVU92CHxJlZGpLvrV1bO4cN4I8rOTPI4PyU7kru9N545LpgapZaK3/PKqmZxz3DD3z1edOZYTpw5u5xFCtHXNWePct9/5fE8QWyJEYFXXGmWCzj9xuDvnKTrK7l7hevvFU3lqyYntpkTMnWhs3/bxVwd6uLWBIcFUFw3OSOD02fnc3ipoykyNY9jAZFReWpBaJnrT8Zbq5nMnDpQ8KdFlSfHRPHbL8QAUldUGuTVCBMbeI5V8vcPYVmtMvvfPw0h7hM+6jS6xUcYMz3tftN0Hty+SYKqboqNa/uvyc5Lkw7SfSZNpPREA8bFGYcLC0rargoXoDU6nk+XrDrRJXeiOkoo67nnuCzYXFAMQ40f+8IXzW5LTQyFvSpJ7usla2DEtUT5Y+xubzcaPL5risTJFiO7ISInlSEkNTqfT6wpSIXpKQ2Mzuw5V8Ld3NWlJMZw1J59Z47K7vbfs8vWeU3Ix0d1/f4yOsjN3Qg4rNx2msLS2z2+OLCNTAZAgCef90rih6YwYLDWlhH8GDoinrqGZQ8UyOiV6j8Pp5N6/reV3/zT2iiytrOeF977h9id919DryJbdpR4/J8b5txtEgVl36u5n11DRx/ftk2AqANKSZWRKCNE9E4YZOytsMqdGhOgN2/eVeZ3aq6lvwuFov/bZpoJibnviM9ZaVu0BFJfXeQwuxPoxMgUwa2y2+/Ytj66gtLLer+frSRJM+WHRgpEATBqREeSWCCFC1YjBxmqn/UXVQW6JCHcFBysoNBc77C/0/XorLK/F4XT63Dty+fqDFFfU8fjrm/hk/QGcTicfrztAeXUDQ7ISueGCyVx3zni/p63PmjuU7PSWsgh6b2k7ZweXzE/54dSZeRw7IYekeNmLTQjRPRkpcYBRvPOkY3LJa1V2RYhA0HtL+d0/15EYF8Wvr5nVZl/I/Owk9pjFNg8V1bD0sz2s2HiI1MRoliyawmBLFXPr5sN/fUdT3+jgpQ+3AzBwQAKnzxlKYWEl/oqw2Ridm+Letq1ERqbClwRSQgh/WD+Y7v3b2iC2RIQzV25UVW0jP3p0Bf/+tACAcUPTuP+6Ofz8yhn88LyJgLER8YqNRhHqsqoG7npmDfsLq3A6nfz1nW2s3nLE47ldgVR0ZASnzsoLaLvPPWE4mamxACz7fA/1Dc0UltXy9Ntb+N+GgwH9Xf6QYEoIIYLM9a2/qdmBQ/bqEz3AV/meq88aR0aqMTqaM8B3pfG3Vu6muKKOT9a3BDDnnzjc45wlF00hy3yuQElNjOGXV80CoLquiTdX7uLRVzfw2abDPPffbX1m6k+CKSGECLKHbmnZr6yuvu/X1BGh5XBJjdcgPSbaTqqltE9mO4FQRmosNXWeU4MzLQniAMMHJfvZUu9ioux89+TRACxbvZdKs8I6QEVNI8XldT3ye7tCgikhhAiy+NgoZo83Ppha57II4a8/v7nZffv/Lp/uvu2qwO8SaY/glgsnuX++8dyJXHaKEcQkxkVRUtGSs/TD8yaSmRrH72+cy2mz8nh88Qke9RcDbd7UQe7bFdUtZRKeeXsLtz35Ga8u39ljv7szJAFdCCH6gLgY4+24LwVTzQ5Hj35Aip5XVlXP7sNGMnhKYjTDByXz7J0LfJ4/aUQGj91yPOXVDQwckMDWPcY02isftwQrFy0YydTRmYCxG8R35o/swR4YWr8OoyIjaGxy0GCuOPzv53u4YN4Ibw/tFZ36K1FKnaSUekIpdY9S6ude7h+mlHpNKXWnUuolpdTZgW+qEEKEr3gzmLr/xXU0NXtfkt6b1u8o4pr7l7Pe3GdNhKa9R1pW1d1lGZVqT3xsFAMHJACQktB2kdVxkwa1OdYbTp05xH37jNn5QWmDLx0GU0qpeOApYLHW+h5gklJqYavTbgdWaK3vA34H/D7QDRVCiHDmGpmqqm2k4GBFkFtjfNMHeG/N3iC3RPjjgFlP6pKTRpGeHNvlx2enxzFhWLr757H5acQHadePkYNT3bcPFfetumyd+R+ZA+zRWrsmS1cCZwIfWs45AmSatzMBWd8rhBBdMG5omvt2X9jzsdkcHbPb++40X1Ozgyff2MTkkRmcMDk4oyV93StmLlFpVfdqNNkjIrh10RQcTiefbz4c1CLVo3Jbtu869/jhbCwoptZcsDF9TFawmgV0LpjKAqzVtyrMY1YPAa8rpR4CZgK/6uhJ09LiifRjR+nOyszsXwXw+lN/+1NfQfob7mZMHMzcSQdZueEgNU0OFj+2gl9fP5f8nJ5ZIdUhcyl9fFyUz2uxcUcR6SmxHgUdOysQ13dzQTHrthexbnsR55+k/H6+nhSM13OVZdXbzAmD/G7DOVmdfy32RH8zM+GmCyczMCOBCSMzefk3ZwGw+1AFQ7KTsEcEb6PwzgRTRwHr/0qyeczqeeBprfWLSqlMYLtSarjWusTXk5aW9vymnpmZSQGpwhoq+lN/+1NfQfob7lz9HZBk5Kc88HdjcP+mBz5uN1m4Pc8v20pSfDTnn9i9pFz3MniHk8LCSqpqG1m95QgnTB5IVKSdpmYHP31yJUCX2xio67t6wwH37fVbDnUrqOsNvf163rq7hP2F1bxoFtMEyM+I77U29GR/p40w9rK0Pn9CpI2S4rb7DAZaewFiZ8ZvVwH5SilXMYq5wFKlVLpSyhWmDgEOmbdLAUcnn1sIIYQp2sv03vfv+4i1urBLz9PY1MynXx9i6ao93W5LQ6MxfeKq9fj8sm384/1veGfNPsAooNjb9N5Svn/fR9z/z6+oqWukuKKlvtBdz6xxbzsCsONAOUfLamlqdlBk7kfXXzzw0nqPQOqUGUPaOVsEQocBj9a6BrgeeFQpdS+wQWv9IXAncIN52mLgJqXUT4EngZ9qrWUJiBBCdEGUj/ykx1/fyKdfd27rjKZmBys2HHL/bC21UN/YzH8/38ORTswMuFYUNjQa/+48UA7A4WLjsRt3Frc8b0PPFxotOFjh3hJl294yHvv3Rg4WefZjf6ExOvHO6r385oW13PnUKp5ZupXbn1rlsaqttWaHg7X6KM2O4K+i7AnHqMyOTxJ+6VRKvtb6feD9Vsdut9xeAawIbNOEEKJ/se7T19rzy7Z1Ksn6Pyt2eYxIHS2tJT8niS27S3j0tQ00NDp4dflO/nzbPCLbSS53Fcxev6OIZav3UO4ulGjc8Y5lld8vnv+C31w7u8O2tae2vom3P9vNabPyPPY8PVpWy/Z9ZW2qb2/bWwaADSNJvqnZwSdfH+QYlcV/Vuxyn+faR+5AUbXPTaTf/2I/L3+8gzF5qdx+yTS/+hFsrhFFl19fM8td5kD0HJmKE0KIPsJbMLVoQdcKIm7fX+7xc1F5LfsLq3jwpfXuUSaAmg6KgzZaal1ZCzY2O5w4nU4OFrUsTT9c4n8O7C+e/4Jlq/e6N811ufevX/LM0q2s2WoERRfO98wBG5yZ4K7avamghJKKOhLi2o4TJLSznP+oOQ24bW8ZmwqKfZ7XFzmcTl78YDsvfrAdh9Ppvq4jc1P41dUSSPUWqYAuhBB9hDWYmjY6k/NOGM6gjATWbD3qnsLqUKs92Grqmrj7mTVtTvvf1wc5c85QH0/hpMHH1N2arUdZs7VlDVJediJHSvzPSao2V57VN3pOtblWpO00a2/ltxpdGjE4hbH5aaQmRlNW1UBReR0OR9t96CK8rPSqrGkgKjKCssqWsgEPvfy1+/b8aYM5cLSKHQcq+P2Nx5Ji2ceuL/h6RxG7DlXw/pdGHtuQrERGDzHKB+SkxTM4QwKp3iLBlBBC9BERtpYP/JvOm+i+HRNlbJ1R39BMTLTvkjIbC4r5ptXIlK/taV77pIDRQ1IZlZva5r76xmbahiPexUTZaWhsxul0YrN1b2n6waJqd0K7dd81gEEZCR6jYCMHp/DD8yfy/LJtVNY0cvykQdhsNmaOzea9L/Zx3z++8vo7mpo9e+RwOvnRoyvISIn1WuUb4OOvWlYLLn5sJb+8aia5fWTF4O7DFfzh1Q0ex57971ZSEo2+9IVaZf2JTPMJIUQfMWxgMpmpsVx3zniP464RkT9ZNqz15outravWeE7nzRzrWSJw3TdFfLL+gMexxqZm3jVX7FmlJrYNOG6+YBIxUXacQGNT95O3739xnfv2rkMV7oT2f3+60yOQstmMFY9TR2Vyz5Uz+dnlxzB8kLGofMbYtkUbYy2BZ1Or9v3PTOgvKq9j58EKoqM6/jj0NsIXLG+u2O31eHmVEYxGdaI/InDkf1sIIfqIASmx/O66Y5k5Ntvj+GWnjCYhNpLdh9vfZiYjpe12IfuOtkwPxsdEcvMFk9w/v7NmL399R1PX0BJwrf2m0J3AnZna8nzfPn64x/MuPCaXicPT3eUcGvwIppItCefNDid/fssIGt/+rCWRfuLwAdxhSQ5PS4phxKCWitgjBqUwdZRnde4nbj2Ry081ink+8cYmVm0+zOebD3O4pIYvt3kGnlNGZjDdsupt4bRc923rRr6NTUag99mmQ9z9zBqq61oKY/Ym656JFy8cxc8uO8bj/rkTcnq7Sf2aTPMJIUQfFx8bRUZKHIdK2t+PzDUKtXBaLmPy03j89Y2s297yoavy0pgyMoPrzhnPU/9pGeUqrqjno7U7yUj1DMYmj8ygssYo1jlnfA5bdpewZutRHrzhWPc+bzHmCEh9QzOJcVHd6t/wQcnsL6zi7LlDeXPlbo82AyQnRLP4O5M7fJ6LTxrlfuwPzh5vtq9ldOovb21x31ZDPKc3Lz91DM0OB3Z7BGfOySc9KZbhg5NRQ1JJTYrhrc92U1vfRGllPVlp8Tz99lYA1urCoG5lc/cV0xlqVsm/9JTR/P29b7j8NNVnC5iGKwmmhBAiBMTF2GlodNDU7PBZ0sCVH7Vweq7XUapZ44wRr+ZW+UP7jlTy8Tpjuu/CeS2r5Q4VVbN40RS+f8ZYoiIjuPqscXz35NEepQtcXnhPc8uFbQOeejOfKjba98eNazn/8ZMG8ebK3YAxApSVFsfR0lp+ZBlNa09GShz3Xz8He0QEaUnG1OiQLO9Bhd5nlFaIjozgtFl57s17XUEYwJzxLaM7M8dm8cn6g7z/xX4uPnmU+3inFwb0EGtC/oJpuSywjKiJ3iPTfEIIEQLiYowP+7p2CmS6gqm4mEgi7RHkWQKJCcPT3bentJoOe/a/W923D1hylKKj7ETYbO5VhpH2iDaBVGG5UYV8w85iXlm+o02bFv9xBTc89CkVNQ1t7nNx9Skuxs68KcYozx1PreJoqbFKcNjAzu8Jl5ES5w6kwEhgd0mK9xw5Gz0klSeXnNhmCtMbV12rD7/a785LAqOYaG86VFzN5t3GTm1j8lK7nfQvAkuCKSGECAGukZOa+iYqahp44MV1HoEPWIIpM/F6gGV0yhoAxMVE8sjNx7l/tq50+2zTYQDmTszh8tPGdNiuCyx7/y37fG+b+12B0h1PreLGhz/htU92tjmn3hyZio6yc7K59UmZ2d6uBFLeRETYuOHbE/jheRP5w83Hc8+VM9z3ZabGdjoYufSU0e7bSx5f6b7devVhT/vZX1bz+5fWA5DQzWlVEXgSTAkhRAhwjUzV1jVxy6Mr2LqnlLueXs3bn+12f6DX1Ddjj2gZSbJOcVkT0cFI+n72zgV4iyVmjs3iqjPH+SwZYDW6Ve5RvaUC97NLW0a86huaqa1vZumqPVz0s6U8u3QrG3YW8c7qvWzdUwoYI18DByS4C2zaI2wsWdRxrlRHpo/JYupoI7k8LzuJ80806nedMTu/088xNj/N63FfpScCraK6gWeWbvE4ludjClP0PgmmhBAiBMS7gqlWH97//rSAj77aj8Ph5HBJNXExke7RFmtNpIsXjsKbnPT4NsfG+AgcfLEGGmVVLQUwV2w85O10quuaWLHxEI+8soGXP247NegqNhkXE0l8bOBHX86cM5R7u1gdPMJm48+3zfM4Nio3hZr6ph7Zm7C+oRmHpQDrK8t3sHLjYY9zZo2XFXt9hQRTQggRAlwjU9aaTC7NDidffVNIbX0zuZktAYJrZCovK9E9fdZaghmsqCGpHDdpIACTR2R4PdcX60o7a6HLrrCOgs02g4QByW2T6IMp0h7hrmuVkhjN8EHJOJ10WLKiq4rKarn+oU94438F7mPecuXSk/pWRfb+TFbzCSFECPC1Kg1gz5FK/mtubrzwmJbVXNnp8fzf5dPJSovz+VhXsnZcTCSXn6r4zvyRXS5xEGmWE1i6ag/vfbGPCcPTmTBsQJvzLlo4qs3eey5nHTvUffu4SQMpr25g0oi2zxFst108lcrqBjJS4/h8izFStOdIFSqv86N5m3eXkJ+d5PX/2eF0cvtTqwCjztZ5Jxg5aa6iqD+/YgZ7j1ZSXdvU7kbVondJMCWEECFg3NB00pJiKLXsI+eyqaDEfTstyXM0xzWS4sv580aQlRbHrLHZRNojSIzr3gf0cEui+EP/+ppn71zg3i/v3qtnsWlXCSdNz2X99kK27S1jxOBkEmKj2LCzmIsWjvIIAiPtEZxz3LButaOnxUTZiUk1glNXWYI9hysBKK2s5/VPC7j4pFHukUSripoGXvloByvNJP+HbppLaqv9/l5b3pKgb906qLCslviYSPJzksjP8dyfUASfBFNCCBEikuKivAZTVskJXRtVykqN43zLirzuar1n4PrtRTQ7nAwcEM+gjAR3iYKc9Hi27S0jLyuJ804cTmFZrbvoZKjJTosnOiqCvUeNYMq1ym/FxkM8e+cCj3MdDie3PLrC49j7X+zjQkt19YbGZpatblkRacPYdPqbfWUcKq4hK9X3CKMILgmmhBAiRES3ClhcRS1dUhKi24x09JbWAdGjr20gPiYSe4TncsEL549kWG4qs8dkEhVpJyEndJf3R0TYGJKVyK6Dle5tZnx5zlLLy2XZ6r3MHp/jnsLde6RlxeWA5BiKK+rZd7SKP7sqt0tJqT5LJlyFECJERLXKkbnvB3PcU01pSTE8cMOxQcujiY+N5Ok75rvLGoBRE8vhWWyduJhIzps/iqhIO+FgSGYiDqeTjyyJ9xE2G03NLXsVOp1O99Reaz9/dg3b9xsFQX/z97UAHDM6kwnDjXyxe577wj0aeeO5E3ukD8J/EkwJIUSIcNVjArjmrHFASzHPpPiooCckR9hsLFrgWYLhYFH7+wmGukxz6u1fH7WUeHA4ne7ipDV1jTz84lfu+4YNTOLxxSe4K70D6L1l3GkmnQMUHKpg4vC2yfc56TLN11dJMCWEECFoRG4KYOwtB71fiduXuRNz+PkVMzo+MUx426cQYMeBcgCeX7aNj9fuB2DE4GRuu3gqcTGRnDorz33uvz8t4GhZy3TtydOHMG10pjtgBrj2W+PCZjQvHEkwJYQQISjT3Crm/HkjzM16O1/NuyfZbDbyc5K49mwjELjunPEdPCK0zRqX5a4ib03CT02MweF08qUudB+77BTl3vA5Oy2eM+e0vWZJ8VGcMtOoCXaMyuTCeSP42eXHuGtvib5JEtCFECJEnD4rz73ay1rl/LHFJwR9iq+12eNymDBsgEcOVTiKirTz1JIT2X24kpGDUyiramDJ4yuprW9y1/4CyMtOJC/bs6TB+SeOIDkhmhc/aKm9tWTRFCLMaxsdZef0Lmx5I4InvF/lQggRRk6dlcemXSV8x7KcHuhzgZRLV4t/hqqoSDujco09Cl1FULfsLmXL7pYct5vO8548fvL0ISyYNph3Vu9lzvgc0vtY1XfRORJMCSFEiEiOj+YX358Z7GaIbkhoZ49Be0QEZ84Z2nuNEQHXN7/OCCGEECHKtVGzVWy0JI+HMxmZEkIIIQLol1fN5J01exmancTI3FTS0xOorKjt+IEiZEkwJYQQQgSQzWbjdMvqytiYSCqD2B7R82SaTwghhBDCDxJMCSGEEEL4QYIpIYQQQgg/dCpnSil1EnAecBRwaq1/0er+Z4ARlkOTgGla690BaqcQQgghRJ/U4ciUUioeeApYrLW+B5iklFrY6rT3tNbztNbzgLOB5RJICSGEEKI/6MzI1Bxgj9a63vx5JXAm8KHrBK31vyznXwU829GTpqXFE9kLmzZmZiZ1fFIY6U/97U99BelvuJP+hjfpb3jrTDCVBR6rOivMY20opSKAU4FHOnrS0tKazrTPL5mZSRQW9p8Fqf2pv/2pryD9DXfS3/Am/Q0P7QWInUlAPwpYnyHZPObNOcDbWmtnp1snhBBCCBHCOhNMrQLylVIx5s9zgaVKqXSlVHKrc68Ang9c84QQQggh+rYOgymtdQ1wPfCoUupeYIPW+kPgTuAG13lKqSnAN1rrqp5qrBBCCCFEX9Op0gha6/eB91sdu73Vz+uB9YFrmhBCCCFE32dzOiW9SQghhBCiu6QCuhBCCCGEHySYEkIIIYTwgwRTQgghhBB+kGBKCCGEEMIPEkwJIYQQQvhBgikhhBBCCD9IMCWEEEII4QcJpoQQQogAUUrJ52o/FNIXXSk1KNhtED2nv11fpdQwpVSiUsoW7Lb0BqXUcMvtsO6zUmqcUmpYsNvRW5ThPKVUVLDb0huUUpOUUq8qpZK11o5gt6enme9VCeH+d9sVndpOpq9RSiUA5wDzlVJ7MPYEfFkpZdNah11Jd6VULPAHYKXW+m9KqYhw/oNVSsUDZwEXKqW2Ax9orT8KcrN6jFIqETgNuBg4AnwJPBvURvUwpdTpwLNKqbu01k9jfLFrDnKzAk4plQr8DGOD+JuAXeH6PgWglIoDTgeOA1YBKUBRUBvVg8zreycwAXACM4EPgtqoHmS+V50FnAuUAmsI8/eqzgrVkamzgQHAEmAzcJtSaorW2hmmkfIQIAl4RCllD/NAagLwOLAf+BEQD0wN16FzpdRQ4CGgBrgG2AvkmveF3WvZch0dwEfA95RSKVrr5nC7xkqpUcA/gW3A8cAepVQ0YDfvD7vrixFMNGqtbwU2Ak3ml8Gw669Sai6wGjgMLAJeAwrM+8Kqr+D+270JI0C+FtgCpIdjX7sjpN68lFI284LOBzZrrSuAt4D3gAcAwukbn+XDJVNrfQmwHeODN5zn5XcDlcAarfVBjA+ivDAOIA8DZVrr/2qtS4BEoEopNSCcXstg/P1aruNI4N8YH7g/VkqlYwTO4WQfsBZjhOZK4IfAw8CPIfzeq8wP1XlAo1LqPOA7wM8xvhyFVX9N64GntNaPaK2rgYHAtyEs+wrGl4DTgH1a63IgGsgEJgW1VX1En/9ANudmrzXnop3mm/F+4D4ArXUT8ARgV0rNDmZbA6FVf10fPJvMf78P3KSUGq61doTDNwJrfwG01lXA3eZ1BdgBfGqemx2kZgaMl/7WAb8175sMpAExwBtKqfPN4yF7nVv//Sql7OZdRRhfglYAlwG3m9c+ZPvr49p+hPF3kMRpnQAABtVJREFU+4nW+h5gKXCKUmpe0BoaIK3fq8wA4iBGSsJBrfUvMd6bZyqlzg1qYwPAy/Wtxuify8cYXwZD9jVs5aW/jcB/gIuUUq8DyRhfGF5SSl1iPibk+91dfTqYMofEbwfOw8iRcrkfyFFKXWj+XAp8DlT0bgsDy1d/tdYV5vTeZoxpg4fNuzJ6v5WB005/yyynzQQ+MKdMburdFgZWO/0tNW9u1VrfqLX+LfA2MMi8PyS/5Xrrr9balRd1EnApMAwj4BiqlJponhNy/W3n2n4M/Flrvd08tBxYBzS1fo5Q0s578/NAOjAHwOz3P+jjnzUdaef61ltOGwlMNY+H3GvYqp3+Pgz8FOO96m6t9WPAkxgjVCHfb3/09Rd4NLABI6Fvjms1jPmN7yfA75RSo4FpGB88IR1M4aO/ZrTvepF+D/iWUuqfQKiP1LTXX9dU5hCMP+YngIoQn9701V9Xn4aYP88FjsH4ghDKfPU3BiOgOAD8zrx/PrAghK+v174CaK2/MXMBASYCeRgjOKHM13tzI3AbcKtSaqD5Wh6HkV8Tytp9rzK9CSSYSdqhzufrGZgMLAZQSh2H8YX3s15vYR9jczr7TiCplBqDEQl/AGzRWleZ0wKTgevNYw9bzr8aIyKOBJ4xc2xCRjf6G4vxzedS4DGt9dYgNLvbutJf801qLsa0yPPAn7TWIfWG3I3rezswBXgfeF9rvT8Ize62Ll7fJK11pbn6ayHGN92dwWp7V3Xj2v4KGI4xZb00nK+tef5ijPy/ZuCvWusDQWh2t3W1v+ZjZgH5wGuWEdiQ0I3r+xLGopntwN9C7fr2hKAHU2ZSqlMpdT3GHOwu4EQgQWt9heW8mzGWnz4cakGElT/9Nb+1x7tyS0KBn/0dA0zUWr/S+y3vHj/7mw0M1Vqv7v2Wd4+/f78qhMoE+HltM4EhWuuver/l3ROAa2sPpaBCPou69HqOBZK11kd7v+V9U1CH1M3Rhzjzx1TgHa31y8DdwPlKqVMsp78CNAC/V0rdaM7phhR/+2smeYZUIEX3+xurtd4WaoEU3e9vjNb6SKgFUnS9vw9a/35DKZDCv2tbGGqBFH6+N4daIIV8FnXl9VwngZSnoAVTSqk5GMv8H1RKjceIiPMBtNbFGEtqH7Q8xI6RI7QOY1ixoXdb7B/pb5f7W9e7LfZPAPpbTwjxo7/rCbHXs1xbea9C+huyr+fe0uvTfGZy3j0Yc60vA09jXKQy4Cat9RjzvBjgdeAOrfVGpVQGEBuCuQbSX+mv9DcE+9uf+grSX6S/YdXf3haMkSknxiqeD7SxJPwXwExtLLFsUkrdYp43AKNg4xYArXVRiF5M6a/0F6S/odjf/tRXkP5Kfw3h0t9eFYy9+WqAV7XW+yzHVpn/3gWcppR6AKPMwdpQmnf3Qfor/ZX+hqb+1FeQ/oL0N5z626t6PZgyE06tFzMfcK2IiAZ+g1HuYJc5fxvSpL/SX6S/Iak/9RWkv0h/w6q/vS0YI1OtDQRKlFIvAvXAe1rrPUFuU0+S/kp/w0l/6m9/6itIf6W/otOCWmdKKZWDUTl1I/Cy1vofQWtML5D+Sn/DSX/qb3/qK0h/pb+iq4I9MuUAngEe7CfLLaW/4U36G776U19B+hvu+lt/e1zQK6ALIYQQQoSyUN1UVAghhBCiT5BgSgghhBDCDxJMCSGEEEL4QYIpIYQQQgg/SDAlhBBCCOGHYJdGEEKIdiml5gL3AuMwNmBNAxKB57TWr3bw2CuAeVrrK3q4mUKIfkxGpoQQfZrWeiXwV4xtLq7TWi8CrgbuUkotDm7rhBBCRqaEECFIa31IKXU78JpS6t/A48BmjB3vv9RaP6WUGgVcCgxWSj0GvKW1flcpdTMwGqgFUoHFWuuq4PRECBEOJJgSQoSqL4AEIAv4vdb6YwCl1Aal1Jta6+1Kqb9jTPPdZN63EDhba32S+fO9wO3A3UHpgRAiLEgwJYQIdRHAPKXUxUANkA6MAA56Ofd0IEMp9ZT5cwZwqFdaKYQIWxJMCSFC1QygGlgATNVanw2glJoC2H08xgas0lpfb55rA+J7oa1CiDAmCehCiJBj7np/P/BzjDypEvN4BJBrObUOsCulbEqp7wHLgPlKKdcXyW8Dt/Raw4UQYUk2OhZC9GlKqTnAr4AJwKsYpRFSgBe01v9SSuUBLwHbgWLgHGADcBUQB7wG7AA+0lo/q5S6BTgW2AfEAku01nW92yshRDiRYEoIIYQQwg8yzSeEEEII4QcJpoQQQggh/CDBlBBCCCGEHySYEkIIIYTwgwRTQgghhBB+kGBKCCGEEMIPEkwJIYQQQvjh/wH+YY3uTtSTfgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_ols_1', 'strat_ols_2']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_03.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = KMeans(n_clusters=2, random_state=0)  #  <1>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=2, n_init=10, n_jobs=None, precompute_distances='auto',\n",
       "    random_state=0, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(data[cols])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_clus'] = model.predict(data[cols])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_clus'] = np.where(data['pos_clus'] == 1, -1, 1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1,  1, -1, ...,  1,  1, -1])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['pos_clus'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(data[cols].iloc[:, 0], data[cols].iloc[:, 1],\n",
    "            c=data['pos_clus'], cmap='coolwarm');\n",
    "# plt.savefig('../../images/ch15/strat_ml_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_clus'] = data['pos_clus'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns       0.810644\n",
       "strat_clus    1.277133\n",
       "dtype: float64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_clus']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True     1077\n",
       "False    1058\n",
       "dtype: int64"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_clus']).value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_clus']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_05.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Frequency Approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_bins(data, bins=[0]):\n",
    "    global cols_bin\n",
    "    cols_bin = []\n",
    "    for col in cols:\n",
    "        col_bin = col + '_bin'\n",
    "        data[col_bin] = np.digitize(data[col], bins=bins)  \n",
    "        cols_bin.append(col_bin)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "create_bins(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>direction</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  direction\n",
       "Date                                       \n",
       "2010-01-07          1          0         -1\n",
       "2010-01-08          0          1          1\n",
       "2010-01-11          1          0          1\n",
       "2010-01-12          1          1         -1\n",
       "2010-01-13          0          1          1"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[cols_bin + ['direction']].head()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "lag_1_bin  lag_2_bin  direction\n",
       "0          0          -1           239\n",
       "                       0             4\n",
       "                       1           258\n",
       "           1          -1           262\n",
       "                       1           288\n",
       "1          0          -1           272\n",
       "                       0             1\n",
       "                       1           278\n",
       "           1          -1           278\n",
       "                       0             4\n",
       "                       1           251\n",
       "dtype: int64"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grouped = data.groupby(cols_bin + ['direction'])\n",
    "grouped.size()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "res = grouped['direction'].size().unstack(fill_value=0)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def highlight_max(s):\n",
    "    is_max = s == s.max()\n",
    "    return ['background-color: yellow' if v else '' for v in is_max]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "    #T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow0_col2 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow1_col2 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow2_col2 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow3_col0 {\n",
       "            background-color:  yellow;\n",
       "        }</style>  \n",
       "<table id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95eb\" > \n",
       "<thead>    <tr> \n",
       "        <th class=\"blank\" ></th> \n",
       "        <th class=\"index_name level0\" >direction</th> \n",
       "        <th class=\"col_heading level0 col0\" >-1</th> \n",
       "        <th class=\"col_heading level0 col1\" >0</th> \n",
       "        <th class=\"col_heading level0 col2\" >1</th> \n",
       "    </tr>    <tr> \n",
       "        <th class=\"index_name level0\" >lag_1_bin</th> \n",
       "        <th class=\"index_name level1\" >lag_2_bin</th> \n",
       "        <th class=\"blank\" ></th> \n",
       "        <th class=\"blank\" ></th> \n",
       "        <th class=\"blank\" ></th> \n",
       "    </tr></thead> \n",
       "<tbody>    <tr> \n",
       "        <th id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95eblevel0_row0\" class=\"row_heading level0 row0\" rowspan=2>0</th> \n",
       "        <th id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95eblevel1_row0\" class=\"row_heading level1 row0\" >0</th> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow0_col0\" class=\"data row0 col0\" >239</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow0_col1\" class=\"data row0 col1\" >4</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow0_col2\" class=\"data row0 col2\" >258</td> \n",
       "    </tr>    <tr> \n",
       "        <th id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95eblevel1_row1\" class=\"row_heading level1 row1\" >1</th> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow1_col0\" class=\"data row1 col0\" >262</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow1_col1\" class=\"data row1 col1\" >0</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow1_col2\" class=\"data row1 col2\" >288</td> \n",
       "    </tr>    <tr> \n",
       "        <th id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95eblevel0_row2\" class=\"row_heading level0 row2\" rowspan=2>1</th> \n",
       "        <th id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95eblevel1_row2\" class=\"row_heading level1 row2\" >0</th> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow2_col0\" class=\"data row2 col0\" >272</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow2_col1\" class=\"data row2 col1\" >1</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow2_col2\" class=\"data row2 col2\" >278</td> \n",
       "    </tr>    <tr> \n",
       "        <th id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95eblevel1_row3\" class=\"row_heading level1 row3\" >1</th> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow3_col0\" class=\"data row3 col0\" >278</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow3_col1\" class=\"data row3 col1\" >4</td> \n",
       "        <td id=\"T_bd3a01ae_f55f_11e8_b0d0_f45c89be95ebrow3_col2\" class=\"data row3 col2\" >251</td> \n",
       "    </tr></tbody> \n",
       "</table> "
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x1a1885b160>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res.style.apply(highlight_max, axis=1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_freq'] = np.where(data[cols_bin].sum(axis=1) == 2, -1, 1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True     1102\n",
       "False    1033\n",
       "dtype: int64"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_freq']).value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_freq'] = data['pos_freq'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns       0.810644\n",
       "strat_freq    0.989513\n",
       "dtype: float64"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_freq']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_freq']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_06.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Classification Algorithms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import linear_model\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from sklearn.svm import SVC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "C = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "models = {\n",
    "    'log_reg': linear_model.LogisticRegression(C=C),\n",
    "    'gauss_nb': GaussianNB(),\n",
    "    'svm': SVC(C=C)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fit_models(data):  \n",
    "    mfit = {model: models[model].fit(data[cols_bin], data['direction'])\n",
    "            for model in models.keys()} "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "def derive_positions(data):  \n",
    "    for model in models.keys():\n",
    "        data['pos_' + model] = models[model].predict(data[cols_bin])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate_strats(data):  \n",
    "    global sel\n",
    "    sel = []\n",
    "    for model in models.keys():\n",
    "        col = 'strat_' + model \n",
    "        data[col] = data['pos_' + model] * data['returns']\n",
    "        sel.append(col)\n",
    "    sel.insert(0, 'returns')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "sel.insert(1, 'strat_freq')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.810644\n",
       "strat_freq        0.989513\n",
       "strat_log_reg     1.243322\n",
       "strat_gauss_nb    1.243322\n",
       "strat_svm         0.989513\n",
       "dtype: float64"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[sel].sum().apply(np.exp)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_07.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.DataFrame(raw[symbol])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['returns'] = np.log(data / data.shift(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['direction'] = np.sign(data['returns'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "lags = 5  \n",
    "create_lags(data)\n",
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['lag_1_bin', 'lag_2_bin', 'lag_3_bin', 'lag_4_bin', 'lag_5_bin']"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "create_bins(data)  \n",
    "cols_bin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>lag_3_bin</th>\n",
       "      <th>lag_4_bin</th>\n",
       "      <th>lag_5_bin</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-14</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-15</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-19</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  lag_3_bin  lag_4_bin  lag_5_bin\n",
       "Date                                                             \n",
       "2010-01-12          1          1          0          1          0\n",
       "2010-01-13          0          1          1          0          1\n",
       "2010-01-14          1          0          1          1          0\n",
       "2010-01-15          0          1          0          1          1\n",
       "2010-01-19          0          0          1          0          1"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[cols_bin].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.805002\n",
       "strat_log_reg     0.971623\n",
       "strat_gauss_nb    0.986420\n",
       "strat_svm         1.452406\n",
       "dtype: float64"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_08.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu = data['returns'].mean()  \n",
    "v = data['returns'].std()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-0.006033537040418665, -0.00010174015279231306, 0.005830056734834039]"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bins = [mu - v, mu, mu + v]  \n",
    "bins  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "create_bins(data, bins)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>lag_3_bin</th>\n",
       "      <th>lag_4_bin</th>\n",
       "      <th>lag_5_bin</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-14</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-15</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-19</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  lag_3_bin  lag_4_bin  lag_5_bin\n",
       "Date                                                             \n",
       "2010-01-12          3          3          0          2          1\n",
       "2010-01-13          1          3          3          0          2\n",
       "2010-01-14          2          1          3          3          0\n",
       "2010-01-15          1          2          1          3          3\n",
       "2010-01-19          0          1          2          1          3"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[cols_bin].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.805002\n",
       "strat_log_reg     1.431120\n",
       "strat_gauss_nb    1.815304\n",
       "strat_svm         5.653433\n",
       "dtype: float64"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_09.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sequential Train-Test Split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "split = int(len(data) * 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = data.iloc[:split].copy()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(train)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = data.iloc[split:].copy()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(test)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(test)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.850291\n",
       "strat_log_reg     0.962989\n",
       "strat_gauss_nb    0.941172\n",
       "strat_svm         1.048966\n",
       "dtype: float64"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_10.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Randomized Train-Test Split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, test = train_test_split(data, test_size=0.5,\n",
    "                               shuffle=True, random_state=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = train.copy().sort_index()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>lag_3_bin</th>\n",
       "      <th>lag_4_bin</th>\n",
       "      <th>lag_5_bin</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-14</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-15</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-20</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  lag_3_bin  lag_4_bin  lag_5_bin\n",
       "Date                                                             \n",
       "2010-01-12          3          3          0          2          1\n",
       "2010-01-13          1          3          3          0          2\n",
       "2010-01-14          2          1          3          3          0\n",
       "2010-01-15          1          2          1          3          3\n",
       "2010-01-20          1          0          1          2          1"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train[cols_bin].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = test.copy().sort_index()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.878078\n",
       "strat_log_reg     0.735893\n",
       "strat_gauss_nb    0.765009\n",
       "strat_svm         0.695428\n",
       "dtype: float64"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_11.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deep Neural Network"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DNN with scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.neural_network import MLPClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = MLPClassifier(solver='lbfgs', alpha=1e-5,\n",
    "                     hidden_layer_sizes=2 * [250], random_state=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 21 s, sys: 125 ms, total: 21.1 s\n",
      "Wall time: 5.35 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "MLPClassifier(activation='relu', alpha=1e-05, batch_size='auto', beta_1=0.9,\n",
       "       beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "       hidden_layer_sizes=[250, 250], learning_rate='constant',\n",
       "       learning_rate_init=0.001, max_iter=200, momentum=0.9,\n",
       "       n_iter_no_change=10, nesterovs_momentum=True, power_t=0.5,\n",
       "       random_state=1, shuffle=True, solver='lbfgs', tol=0.0001,\n",
       "       validation_fraction=0.1, verbose=False, warm_start=False)"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time model.fit(data[cols_bin], data['direction'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_dnn_sk'] = model.predict(data[cols_bin])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_dnn_sk'] = data['pos_dnn_sk'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns          0.805002\n",
       "strat_dnn_sk    34.140326\n",
       "dtype: float64"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_sk']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_sk']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_12.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, test = train_test_split(data, test_size=0.5, random_state=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = train.copy().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = test.copy().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = MLPClassifier(solver='lbfgs', alpha=1e-5, max_iter=500,\n",
    "                     hidden_layer_sizes=3 * [500], random_state=1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 3min 47s, sys: 889 ms, total: 3min 48s\n",
      "Wall time: 57.6 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "MLPClassifier(activation='relu', alpha=1e-05, batch_size='auto', beta_1=0.9,\n",
       "       beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "       hidden_layer_sizes=[500, 500, 500], learning_rate='constant',\n",
       "       learning_rate_init=0.001, max_iter=500, momentum=0.9,\n",
       "       n_iter_no_change=10, nesterovs_momentum=True, power_t=0.5,\n",
       "       random_state=1, shuffle=True, solver='lbfgs', tol=0.0001,\n",
       "       validation_fraction=0.1, verbose=False, warm_start=False)"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time model.fit(train[cols_bin], train['direction'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['pos_dnn_sk'] = model.predict(test[cols_bin])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['strat_dnn_sk'] = test['pos_dnn_sk'] * test['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns         0.878078\n",
       "strat_dnn_sk    1.115826\n",
       "dtype: float64"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_13.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DNN with TensorFlow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "tf.logging.set_verbosity(tf.logging.ERROR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [],
   "source": [
    "fc = [tf.contrib.layers.real_valued_column('lags', dimension=lags)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = tf.contrib.learn.DNNClassifier(hidden_units=3 * [500],\n",
    "                                       n_classes=len(bins) + 1,\n",
    "                                       feature_columns=fc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "def input_fn():\n",
    "    fc = {'lags': tf.constant(data[cols_bin].values)}\n",
    "    la = tf.constant(data['direction'].apply(lambda x: 0 if x < 0 else 1).values,\n",
    "                     shape=[data['direction'].size, 1])\n",
    "    return fc, la"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2min 47s, sys: 3.63 s, total: 2min 50s\n",
      "Wall time: 29 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "DNNClassifier(params={'head': <tensorflow.contrib.learn.python.learn.estimators.head._MultiClassHead object at 0x1a19b32cc0>, 'hidden_units': [500, 500, 500], 'feature_columns': (_RealValuedColumn(column_name='lags', dimension=5, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': <function relu at 0x1a189da598>, 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time model.fit(input_fn=input_fn, steps=500)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'loss': 0.6852374, 'accuracy': 0.54971856, 'global_step': 500}"
      ]
     },
     "execution_count": 129,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.evaluate(input_fn=input_fn, steps=1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0, 0, 0, 1, 0, 1, 1, 0])"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred = np.array(list(model.predict(input_fn=input_fn)))  \n",
    "pred[:10]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_dnn_tf'] = np.where(pred > 0, 1, -1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_dnn_tf'] = data['pos_dnn_tf'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns         0.805002\n",
       "strat_dnn_tf    2.924040\n",
       "dtype: float64"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_tf']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_tf']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_14.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = tf.contrib.learn.DNNClassifier(hidden_units=3 * [500],\n",
    "                                       n_classes=len(bins) + 1,\n",
    "                                       feature_columns=fc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 7min 10s, sys: 13.4 s, total: 7min 23s\n",
      "Wall time: 1min 18s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "DNNClassifier(params={'head': <tensorflow.contrib.learn.python.learn.estimators.head._MultiClassHead object at 0x1a188656d8>, 'hidden_units': [500, 500, 500], 'feature_columns': (_RealValuedColumn(column_name='lags', dimension=5, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': <function relu at 0x1a189da598>, 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time model.fit(input_fn=input_fn, steps=2500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'loss': 0.8435978, 'accuracy': 0.48311445, 'global_step': 2500}"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.evaluate(input_fn=input_fn, steps=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred = np.array(list(model.predict(input_fn=input_fn)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['pos_dnn_tf'] = np.where(pred > 0, 1, -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['strat_dnn_tf'] = test['pos_dnn_tf'] * test['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns         0.878078\n",
       "strat_dnn_sk    1.115826\n",
       "strat_dnn_tf    1.071912\n",
       "dtype: float64"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk', 'strat_dnn_tf']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2xVLtxFhfn25siJesmrIlSwhLoosPBZNci/mEbMnKZR1IIrImEfIXrcoxJamgXIVdavhJrFkEwuQhYlANm6EYUKCIyJrgiLxk3aGtapyVc8UKAED/urW6sX4uAACws1YIkQhC7kPSAZ5HtKd7DGY7PBjZXUgsWYSxQBZZtEHF3sp4V3VSK4tAmDwk1s4DpBZbZsaEKE9E1oQmLrIoRm32bCotBSDVy/Jt36rsP+xpgMNkR7mtDKEjbojRKChLPD7ryJExnPTQoGnZXUgsWYQxQBVZyX92xZJFRBaBMGn4pHWTsv0fs85Vtk20CVxCyRfCxELk48JDI7LYklJlm2tvV7Z9nA+VtnIwNIOYxwMAsC+Q+gPyAf8YzHZ4qJas3IksdvAhhImCgNQiS7ZkdRN3IYEwKegNefBu81oUW4pww/LvoUpTN89EmzJurNsbkuJ3ymylg4wk5BMiL4loKoXIYhxOAFLcXkzkYWLM0mN/QDdW4HLbgBkAeL8flMkE2mLR7VdLOBB3IWEM4NNYskqsxWAphliyCIRJguwqXFK+UCewAMDMmDOKyWr2HsddG+/HXRvvz8ocCVkkXtaAotX7AWO3q8fjUSVyIU8LIyVEcO2t0uNpUhNmMcciK9rXh4abfoiWhx5ICsIvtZaApmg4TY4czY5YsiYV8heQMRBZNEWj3FaG7lAPRFEcF53WCQTC8BEhXQ+MYjTNNIv+QURWfX8jHt3xdFbmRsg+cuC71l0IAKaKCkS7uyHGRRjHR8HGRKz+y2b0nVuJcFMjKIsV1hm1AAAhkhzXN5b0vPwPAEC48Sg8776D0vO/rBz7/LTTcHLVCthN9lRPzzrEkjWJkE2mRpYsQFL9oVgYHMkqIhAmPEqMpsFtwMSYwPHRtOn5bk9y+xXC+EE0CHwHgIqLL5U24scjPIeCAA+rLwzvpo3g2tthra0FZTLpXidXhBoalG3Pu+/ojlEUlVOBBRCRNWHoe+dtNP38TvDBgLIv1N6hS68NReO1Thjj1gjmuDmYZBURCBOTNn8H7vjsVzjYe1gRWUZWaxNtgggxbSyLl/NlbZ6EMUB2FyaILDCSLFjT8D7ebFiDQDQICyeJba61BRBFWGtnArKbMYfV1CPHjyPW16s8VoL58wgisiYAoiii59WXwLUch3/bNmX/jmuvR+NPf6w89kclAeY0G/unSRFCAmHiIooi/nroZXgi/Xin6QOlOLGRZVtZcKW5FrT7O5NePxW8wGN/r5ss4PIIPigVnqZYfdQQFS97EI6GsKZ5LZ7c/UdYonrxYqqsVMYhR5l7QfchNN9zp36nkFurmhFEZE0AuPY2ZVtryUokGk/JNtNmw+OyyCLuQgJhYhGMhnDjup+h2XscADDVWQ0xnm1MwdiSBQAcb1zG4VDfETQMNOr2xdJYvT5u3YCndv8JrzW8Naz5E0afwL49AADb3Hm6/bJlixaAlZXLEBViMEf1Apq22RRLVq6sR76tW5L2yZXo8wkisiYAgb17lO10QYiy6Z+hjf/sJuIuJBAmJPt6D+oKMgoQ01qyuPg1wB81roH0211/SNoXS7M4k8Xd/l535pMmZA0xFkNg106wpaWw1M7UH5RFliji0vlfx89PuRWnlizVDaFtdlB0XJznyF0YqpeKoE7/2R05ef9MISJrAhBpblK25e7pWtN9tKcb7X/4HeigpPLl2iGJmIm7kECYkDQONOseczwHMU0HiH29BwEA7zd/nHQslVswmqZ4qVKvKA/dOZOR0JHDEEIhOE9YmRSTJ5d0MIGFjbWhxFqMuZYa3RidJSsHIosPBsC1HIdt/gLYZs9ByXlfUueVZxCRNQEQo+rFTYjEzaWajI+uf7wA3+aNmPv+AQCpswtNGcRhEAiE8YeRyJItWZTB9eDC2VIafLGlMOlYd0gNNLazNpxUJfW7i6ZwLQIAS+e+KCRBJXxM+j4kugoBgI63yynkTcq+ntdf1Y1hbLacxmTxASksRm4DVPFfl8AyozYngm8wiMiaAIia1aEQjluyYqpQouOptgUdA9LjFCLLrMRhEJFFIEwUwrEIWgMdun0RnlM7QBjcBk6oXAIAGOC8SccCUTXuk6EYmGgpcDqdu5ChpDHEkpUfcK0tANSColpiRVJiVFFIY7FMKNNAWayamKyx/5uK8fuctrk143BCjEQgRKN5JbaIyJoAaL/kvs0b0fncs+CDIXVfPEDQEpQugonFSEVRhCgIJPCdQJhgtPk7cMv6O5Ma5EY0liwjd2GxpQgUKPSGPEnHwjE17pOhGbBKmEEad2H8hhwTST/EfCDS0gLKZIKpckrSsX4qgghLwRGQ/lZawTLjrntQdfU1MFdWKm7FSHNz0msMl/CxZhx/8D7EBvrTjpMD3Gmr6h5knJI4bPif69H25OOjNqeRMmjFd5fLVQXgXgDL3G73iSnGfAHAQwD+6Ha7n9DsXw7gegCNACoB/MjtdpNf2WiTsJIYWL8OA+vXGQ6leTHJktX21G8R7eyE6ZoLAJDAdwJhorCpfZvhfn1MVvJam6VZFJqdGIgMJB0L8WoGF03RsDFSv7hgLAhRFOGJ9KPUWqJ7jvwexJKVe0RBANfeBnN1ja6ljkxEiMDnoFHik/7OYlS6H9gXL4F1Rq1S6R3xwHdtLcbh4t+5HYF9ezHw8ToAQM+rL6Pqqu+lHM/7JQsr7VDLEVnrZsO3dQtEjkNg9y5EPR6YSkpSvcSYkYkl63QAbwAGeb4AXC5XIYBiALsS9lMA/grgTrfb/SsAPIDvjGi2BEPSmWsLT/+c7nHZQCzpohrYuQNcWyssXsn6lc8xWZ+0bsQxX0tGY32cHz4ufzvEEwjZhonHzVw09wLdfikmK3UxUgBwmBwIxkJJ+8MxVWSxFIMyWxkAKVbr3eaPcOeG+3Co74gyhhd4tPkldyUvCni/eR329UiB9W82rMHBvsPDPT3CEPF88B56Xn0ZYjRq6CoEAF4Q4LczYMIchHBIyVhPbL6sxGQB4H0jK0zb9uRvFYEFAHwo+XunJdYvWbrYYlVEOZYu143RljbKJYOKLLfb/QqAlJ+g2+32xsckUgfA5na75WCAzwB8ZVizJKRFjEWT+k/JxDx6c39RQEgdk9UnCZJ0Zv9c4gn34x/u1/DA1sxMwT/99Bf46ae/yPKsCIT8xc9J8VOLSl26/RE+AgGpSzgAgN1kQygWTnI1akUWTTOosEnBx+6+erx5dA0A4OhAkzJmfetGRUiJEPF6w9t4es9f0BnowprmtXhi1x9HcIaEodD9jxeU1jPmqSlElsjD55C+E9G+PiVjnTbrRRY0VrCGm29A/U0/RF9CW5tMMMpWFUIheDdvhGftB4bPUUVWsbLPPEXv+tTGJeeSbDaIroRenHnj+walpMQOljUWDSOloqIgK6+bK6IDAzh89GjK45ymvAMAMCKl+wxEUYS8jiwMhQAGMNvovPycfH19ynaq+Rntz8dzGS0m8rkZMdnOFxjZOXNu6QY5s7pK2Wc32cCJURQUSDfNAqfV8D1KHIUQ+0U4ilg4LapbRuxQLecziqvhmlYL7AS2d+1W51xcrLxm65FWw7nt8e5Vx1cUIMbHcLjnKOaUz0wp/CYiY/md1toMKxfNQ4nBe7fGrPDZpfuvua8Djro6AIC92KmbqxCNQtu9UvD7wTfWD3o+icej3uTkisjRBnQckqydc7/x1aTWP/1hafFQWTcVNs3rtcyYjuAxqSZbod2Esjy4XmRTZHUB0J5hYXzfoHg8waxMqKKiAN3dE6vflm/bdmWbYlmIMb0Vquyi/0Ln//1FeWyjzOhs60XrY4/CPn8BGI1Pm2vpBmqBTk9fXn5OzT1qG4+2To+S1SSj/ftqMyRf2/U+Tp96ythMcgyZiN/ndEy28wVGfs69vn7QFI3AgHpdcLIOdId64emXLNfBQNTwPVhB6gzR3NGFSnu5sr+pRxJNp9WcjK/OOh8xPw2WZhHTWMB7B7xo6+iDiTGhiCmGEYc61MVhd7cPf3f/E5+2bsJ3Fn5TKQsx0cn2dzqwdw9MFRUwV1Xr9jMFBYiUVBm+t6ffj9ZKKZnhyGNPwL5gIQAgIlBJ4x0nrEBg5w7lcSQUSXs+RucbOtqYNE7gOGW7zd0Ec4XePuPvkKSElzfBr3m9iiu/h+Z77gIA9Pf6IIzh9SKVuBzWcsHlcjlcLlfFIMOOAgjFA+cB4DQApKfCKNK/bi28mzcqj2c98BBmPfgwan/xK5Sc9yWc+so/UPS5M3XPcdJWRDs6EDp0EL2v/xNdf3teOWbu88HKWPFRy6do6G8aq9PIGG1D2l5NrR4jgjFVqP/d/c8klweBMFFpD3Tirg334ZivBf6oH06TQ2cZKrIUQoQIX7wUg1F2ISBZvAD9bwkAOgJdMDNmfNP1NTjN0msXW4p0Y948+i5u+vh2rDv+WcrfXn9CeYhtHTsBAMe8mcVcEtIjhMNofewRNN3xMyVul2JZWOvqUPfwY7oFthZe5NFWaUbXFV+BuboawQP7pecmugsBVF1+ZcKbDv06G+1Jb3uJdnYm7Yv194O22XQlHADAMn0GplxxNYD8cRcOKrJcLteZAL4NoNrlct3hcrlsAK4A8L+aMTcCWArgPJfLdQkAuN1uEcC3APzS5XLdBYAB8H+jfgaTFFEU0fXX53SrCLaoGKbSMlhqalDxX5co9bG08VoOyqI2BjWZdK8pdPfg8oUXQxAF7Orei3zDqwli7wz2pB0biOpvDA9tfxIbU2RaEQgTiUN9R9Ab9uBQ7xGEYmHYWH0V7GKLZFmSFy1GdbIAwM7aAQCBqBqELIgCukI9mGKv0Ak3Nl7RvTweBC/z8pE3FJElC7HbTroZANAR0N88I7xkvbCwyTdzwtCJDaiZob6tmwHEyzFQtGFWoQwf/3vFZtag9u7/xZQrvwv7osVwnpBsXWQK9NabxCQs75ZN4LoHEVFd0nHZYgYAjqXL1OPdydmL/MAAmMKipP0AQJkkD0eiVydXDOoudLvdHwNI7K3wZMKYxwEkRSO73e5dAK4eyQQJxshptZkw6/6HcPz5PyG2Zx/mrzuClnX3AwDKvnohel59GQBgratDuLERNRbJLZAoUvIBrSWrK5g+bVhbMBGQeqc1e4/j1OpVWZkbYXgIooBgLASnyXhVTRg6nrAUFOyJ9IPjOZRa9e46uYq7nHlrVPEdAByyJUtzLegNeRATYqiy6903suCSCxprCfNSXNj3lnwb1Y4qWBjjBvViPBDfyhCRNRrwPtVSGG5qROEpqwFBSIpv0hIVYjga92IwFA2KYVB02ukoOu30lM+puuZaQBTR8ac/6ERWpK0VHb9/BhTLYu4zqZMb5BIQzhNWIHhQ6kpi0rgHhZD+XiQKAviAH+ZqvQtUhmLjImsI98hsMnmiCycYiV+8dJhKShA9YWHSfu0qxFwzFRBFWPql1/UniJR8QCuyXm94Gy8c0rd6ONLbiN6QFBwvr77trHEvK17gk1bShLHn7cb38ZNP7sFxn3FwtIwgCrjno0fxbtPaMZrZ+MUTkURWX7gfnBCFOUHUFMVFlmLJSuUujFuytGUcOoOS1aHKoRdZs4pmAAAWlc3H8orFumOHPVJ4NEuxKQWWlgKzc9AxhMGJaQLKhUBQLSpqYMUSRREHet24ad1t+KjlUwAAZVy1KYnCk05B4cmnStYxjbtQzmwfzKIU7e4GKArOVScp+7ReFrnwqDK+qwsQRTBFqSxZ0nO17eZySTYD3wlZRBikjkgiMVpA4hqTttmVbXO11ACU6u4DSzFo9bdDFMWUNXRygTci3RSWVyzGru59cHvqsaFtC7ycH+fVnoXbP3gQAPDk2Q8qlqwqxxRdOjkv8GBoBi8deQOftm7CDcu/h/mlc8f8XAgSHx7/BADwwbGPceWi/046ftzXhhfdr8HCmHHIcwT7uw5jdc1JaW/E645/hl3dexETYrhu2VWwm+wpx05EPGHJTSRbe2WRddcpP4Y34sVARLr5qiLLeK1dYHboXgcAOuIia0qCJesbc7+Kac4anFpzEkw0i8d3/h5dwR54Iv3oirv202UMaoPmM725T3QEUQAvCnivaS1OqFyKGmfV4E/SoLVk8aGgIoASLZc9oT48tP2JpJqChz2+a+2XAAAgAElEQVQNQ0sYYhidJSvWq8bNet57FyXnnmf4tGhPN9jiErCFhTDXTEWsv18nzISw/l7n3yGFfTgWLzV8PYqNi6zxEpNFyE+0bXMyGm9NNsGzhWrzV/MU6Qcc7erEFEcl+iMDWNfy2cgmOcr4OB8KzE58b8nlmOqshp8L4G+HXsGbR9ckBdfK7s5Et4bci+3T1k0AgCbv8TGYOSEVi8rmAwD29x4yPP6bHc+g0duMQx61uOUnrRsNx8q8fOQNHOk/ikbvMXzaunn0JjtOkC1ZXSFJ3JRbpTpWU+wVmFsyG864QJUXLXQKUVPtkK4JfWG1xUlHwNiSZWbMOGPaaiXj98YTrsE9p/5E5wbWWsxMCW7FkKb2FklSkfiH+5+4ad1teLvpA/xyyyNDei4fCqHreTUEWghqLVn6v/dr9f82LNr8xdqzhvSeFE1DFAQE9u5B25O/VeLAAKD7pb/Du3EDACDa14u2p59QYq2EUEip3F571z2Y/chjuoD2REuWb+sWgGEMY8QAjbswT2KyiMgapySq+8GIOa1J+8zTpqvb8UJuXGcH/nP2lwAAa5o+xJaOHUnPyxVezodCs+TidLB2hDXtPXjNhflg72H8K14UMfFm0B/RZzRZSZBtTpFjeLQ3WZlQLKz7G8s0D0EYG1Usn8jwAq9YqmQSLSCy8JEXHKlisqysdM3geA7vN6/Ds/v/jhZ/G2iKRkVCgLsRDM1gebzRNKC3ZCVaIrs12cJy4+rJzP5eNz5rk3rOuhrD+P4r3Yhq6gQORvhog+4xHwgoRUW1MVkRnsOu7n2GrzF1iJYzMAwg8Gh97BH4d25X4qtqbrgJtN2Ojmf/BM/2Heh+6R/wb9+Gzuek0kIix4E2S9ZWimVBsSxKv/wfKDxN6lYiV5yPtLXiyHXXIHL8GByLFqfMjiSWLMKoMJSYLMBYZDE2NV7JVFEJUBSinZ1YUDoPFsYMfzSA/zvwD8OKvGMNx3MI8xFVZJn1P7A/7/+bsv3EbjXIMlFk7ezag9/vfU55bGOSPxfCyMn0O8OLqntBW0k8HItgc7tUA+4LM/RlSLghdCQITTKR5eV8SgC5TI1DHyBcai3WueRSufFYigFN0eAEDq83vI2tnTtx3NcKV8kcsHRmkSYrK1WXjvZ95hbX6ca1BzqUbSEPrje55qndf1K2z9/ohZUTdeV6BqPjj78HANjmL4B1Vh24tlY03HyDdFBjUZTLZhgx1IKwFMMkWZ0AwLF4CabecBMomob714+Aj8eK8cEgRJ6HGIuBMutj9WizGZXf+jYAILBvL0IN9Wi+63aI8fpZBSeehFTQJhL4TkiBEA6DD2QWcC7HZFV++4qMxsdShDlMv+0uTLv1Z6BYFqbyCnAdHaApGnOLZytj8qHNjly+QRFZCXE2e3sOGD5vmrMGheYC5YKx9vgn2J1i5UYYHUKxMH740U/wRsPgLTa0Fsifb5Ji6vrCHjy1+894+cgbAIDFcZeizGFPfVprlva7EZhkIkt27WlFVI1T327EbrKj2qHuSxV3SVEUzLQJ4VhEtz9R9KZjjkZMaW/al7q+jkvmXYgvz/wCACn+R0Yk7kJDAqHMC2vKLrOiz52Bsgu/DmiEq9aNtqlDX9bm8c/fh6sWXYarF39ryPNjHE7EDKxtFMPANnceClefDj4UQrQvbrUUBIhRSTTR5uSECMUiFYng+H33KvtNlVPgXHliynkoge/EXUhI5OiPb0bD/1yf0VghXuuKLSxAxX9/CzU33pxybG+oD3879LJuX8HJpwIAbHV1sM+T+pqZKirA+7wQOA6LytReZxFef5HNBf0RKZhXFln94YF0wxUKzE788rTb8bMTbzI8HssDATmR8HF+/Gi9VHH5veaPBh2vjb/xcX7c8NFPceeG+9AwoFaBnlVUi7qiWt3zHtz225SvyWsynDyaeKLJgByPJYuoUmtJUp0sQPpMZdIFmlc5pqAj2AVr3OJ7ctVKuErmZDwfrbDSvo+JMeGMaasxM56VuL1TbcnDE5GlwPCqOPL3daQZqcdUUQFQFApWnqirPwVAsQYNRHw4OtAMV8kcnDXtdFw2/xtgaAYrpyzDikrjoPJ02Fzzk/YVnHSyOqcyycXMx/sOioIAISLNxajQaSrxP+WKqwxFmfI8pYRDflzbicjKI2TrlJhB1Vy5QSZTVIySs78Ap6Z4WyL/rNcX2neesBJVVyaXL6Mt0oVU5Dgs06RhczyXNHasOeaTqkBPdUquj1VTlqcbrkBTdLwidaHh8ZBBzA9h+GgzOTNBEPmEx8nffZZmcf2yq3H3WTdjVuGMQV9T64LsDWcexzLe2daxU7EeyiUVUsXVaDNq07lUl5QvhCAKCPNh1DiqcPnCS4accXzrqhvwtTlfQYk1ub3ONKeU1ax1cU52S5b2N1AZUOOnQsHMLFmiKIJrbwdbUiLFOCWUbJBLH4TilfwrbGX4xryvYnVNahdcJhStPi1pX9VV31O22ZISaX5xC1PM41EEXzrRlIiprDztcdkC5t34GQ5/9woE4hXrcwURWXmCNobFyK+diBwEaSotHXRsYq0ox9KlitrXQpmlL6fAcSiyFGJ1tWSSzYfCpLJ7qLZQCtZfNWU57j/9Llyz5HIsLV806POZFDEkH7dsAC/whscIQyexvtq+noMpx/ZHBgwD3rX8vxXXAZCCsBdVzsONJ1wDQLVoJsILPKJCFNMLpqKuqBY+zp8X7u6x4C8H/o6+sFSbaGGpCybahPml8wzHamtZGWWWySwtV60gmdS4MqK2cHpKF2OhuQA2Vh8XKWByx2R1x0teUIKIQk4VtLFICOFjzbpK7kZw7e3gfV7Y5hj/7Ssu/iYA1WLI0KmLkw4F66w61D30KKqvVb0x2vuMKaH/oBAMKD0KKUuK71ZcIFpqZ8bnfqliEUtF4r2t9ZFfZzT/bEHqZOUJsvsPAHifD4w9fW2fWF8vwDApWwtoKbMlCLFUMRjx1YTsJ6+0S+0pB7jkLuljTZP3OOysTclqoigKBWYnllUsxrKKxbhzw33KDcYIue1HIn1hD9oCnZheUJOVeU82/JxeZD295y948uwHk8ZxfBS3f/ZL5fFZ005XiiBqmV08U/fYzJhR46hCW6AD9f2NmF00U2dZ+d1eKW09FAujLG71jMQiMJkn16Wu2lmFX59xT8rvPU3RWFK+EHt7DiRfH7Sv45iCcmspesJ9SUVNRwOKohShXWgugJfzKZmGoijiz/v/hlmFM3D2jDNG/b3zlRZ/GwDgi5t8WNCkLkIYfxjHfnE3aJsNc377dMrnh9xSORTb/GT3Xd0jjyule2SL71AD3NPBFpfAuWIlis48C44lepdjYpNqQMpmB1Jbsmbd/xBEPga2qBhCOKwrO5SKxHZxgGS4SOxzOFYQS1aewHvV1Um0N31fPgCIefrAFhen7UElk2R+T5G9Q5viIiu+upArQyeWPRhr/NEAekK9qC2cntpPb0/uV17jUF0l2gvJPE1QPwB0BdP31iJkhifcr5TOGIzE0gxfm/OVjN+nLZ6J9uiOp/H8wZew7vhneLvxfQBqva1pzmpY4u1Z8iGmcKyxszaYaData++KhZfiumVXJ1Vo10JRFJZWSJbibIgsLWdNOx0FZgc+bd2ET1o3gROi2NG1B6/W/zur75trRFHEK4f/pXx3W/ztAKATWABg75auw0IolNQjUEs03ivQoinRU3nZ5Sg4dbXS5YMXeNT3S3GPTAohPlwomsaUb38HzuUn6PYzTifYhF6HXKsUBmIUkwVInhpzRSVoszkjgQUYi6xcBsETkZUnaFsgyL2cjBCiUUTa2hDr74epdPBaNYA+RiUdsiVLNuEWmePtN3IssuQCiHL8hhGJRUcB4Eerfqhsa282FtaMX552O65ceCkAoNXbBS5KXIYjpd2gTVGJJTkOB4DORbugdB4YmsF5tWcP6f2KLUXY3LEdLx95A281vg9BFEBTNKyMFZe6LlLcW5E8iCkca1K1k9JiZS1YVOYa1JIhuwyz3VNwScVC3H7mjQCA+v6jup6JE5meUB8+avkUT+3+MwCktMiznCoUoppq6onIGeqMQ61FVnzW2ai++hp80roRm9u349X6N/HqkTelcaMsstJhq9Ffw+VMQ8Y5eq2UKJrGjNvv0u3LJM45W0wuG3oew2tFlkHXcZm2x3+D4EEpkI/NIB4LMMjWSRHyQCvuQqm+SJFFWnXk2l0ot/8oShG8DqgB8VpSxZDQFINiSxGmF04DALy94yAObC7DT7+1chRmO3mRxfzX5nwFr8WTLVJZUuQ4KQtjxg+WXhnfl1ldmxuXX4POYBcYmtH1r+wL90MQBcwtmQWn2QFHvOjmK0f+hTJrCZZVLMbi8gXDO7lxhIUxj1qcDQDMLp6FC+rOx4IstZ86t/Ys7O05gCn2Cjgc0i1pW+euSSOOE7/3qcrRaGn/3VOYdvOPDMUJH5Bi7IyOvXj49aR9o+kuHAzGrhf/csmH0RRZgBQfNvWmW9D+zJMQwuG0lr9sQyxZo8DengNYM8LGtTGNuzCWwpLFdbQrAgsAoj2DuxWBZEtWYrFCGcokW7Ik94osahIrSI81ssgqTNOv7qSqFfjy3LNw66obBn09Jn5RKbOWSGnlliAOtwzAH8qP4nXjFVk4sRSLH6/6IUw0q/SQTET+Tp5UtVIRBHKF8bJ42YGzpp9u+FxX6RycMW01VlTqM2rlht+yuJIL0bo99djQvlURfvnMto6deGLXH7GlYwfu+OxX6AsOvQSFUcmGkUBTNM6febaSdDLa/OfsL+GOk28BTdEws+rCKBOxMRHQJn+IoogIz8EUVRfGtvn6hUFHhQWR5iY03X07+t59B1xHh64avBAIABQF2pbZ92AsLVmJ8cAxT1xkOUa/Kbhj8RI4T4gvnPncuQuJJWsUeGbPswCAL8w4I+NKyInoLFkpxFPzz+/UPXYsXmI4Tqa+twleXzgpLT5VXRw5u1DkJLFhZaww0axSCDRXyNlPBSkyygApQ+aKFReju9uHW1Zen7biuLxyY2kWNqoAAWsQgIgNzXtw+uwFk66h8Ggh1xxjaQYzC2egrmgm3J56xIRY0u9CGau5wJ8z/XMIx8L4/LTTUGwpGtQak5iVJrsrC0zSBVtbcBOQ3DCySzFf8HMBWBgzTIz02/vLgb8DAA72HQYA7Ok8iEXO1DFTRmTiKsxXTMO8fo5ntJ6CP+37KwDAEZKu2da6Oky98WZ8dO+NmN4mibFXzirEiQeCOHnfAHpefhE9L78IAJj3x2cBSO5C2mbPKF4XQMqFUDaY9vUL0b9jJ5yrToJ/2xbVkpWiRc6IibcQEvncuQvz52ozARhJYUutJSuVuzAxeM86q85wnMxtHzyA+7c+ho+O67O2aLvxRZhOyC6kKAosbco4pitb9MSzjUqtJRmNryuqTcpK02LWNKelOAcocwSmGYfwRtuLWNM8MovkZCYWj7OSBZXcI+93e/8vKb7m3XihUq34srJWXDT3ApTZSjN2d9284gfKSvzoQDMAteJ7pSYZYmXlMnBCFL2h1BmoYw3HR/GTT+/Bw9ufTDnGwg492NxuGr8ii6IopWm4jFFSy0RCWzB3Z/deAKrIsi9YBNpsxtrzVCsiz1LYtNSBWIqfiBiLGQZ/A8ZZ1lFx7Kw8RUsWY+7v/qQUKZXLFdGj7C6UoRhJ4hB34QRhJPV4ZEuWdVYdeL8vowbQ2kafmcBMmwoAMNdMM369hMB3AKApKucVmDsCXTDRJpQaFDMcDmWa5rZ8QLKOsVXSDbozQDINh4scWyJfyE+fejKm2CtwoNeNA3HLjMzR/iYAwIxC4+9ipswpnoXLF1wMANjTI7nSK2xlqG8dwB/eOIgTypfi5KqVSpmCnmG437KFnGF53N8GXuDxVjxDUjcmOvTMyNF2F4411y27Svd4uN6B8YJRV4JKXvobMvGMulJrMZ69oBTPXlCKM6auxuULLoFAqx4JbW0okY+lvDcIEFHlmIKVlcvwk1U34qt15+M/Zp07mqczKBTDJJVsyJYlS/kciMiaGIzEksV7vaBYFpYZUqXmaHcG8VYJP6SOQKdhxexKu1Qhd+att2P6bXfBUmOcpadYsnQii06qyj2WCKKAzmAXquwVo+bmkWttiaKIQK/eBcnSxitAwuDIWaClNsniOK9kDi6edyEAoM2vbwkiQMAUe8Ww2nck4iqdi8Vl87GsYjHOrT0Li8oX4FfPb8c2dzemh8/A5QsvgRnSTeuFj/Knb6X2t/rbXX9QylBoeXrr80OOibROsKbn+dCgPpv0hT0o9sZw6wq1iGc0GA9et0viY0XlMgwUsBgoYLG8YjFOrl4JMKqwoiyazE9BUCw4WkRRhCAKcJrsuGrxZZhROA3nzTwbBWliXbOFzojAMKBtWQrRiFvExRwWnCYiaxTJNDvKiJh3AExBIdiSUuWxlvCx5qTnaH3u7zR+gP/d/DB2dO0BoL8w0aDhMNnB2O2w1aV2McqB73J2oSgIMPMUhBxe5PrCHkSFGKoS4mtGQoWtDDFewL83NIEb0BdzlVuMRPkoXnS/jq5gZskFBDW2Q+vWlbM+2wLturGCMHqxUQVmJ36w7Cpcs+Ry/OfsLyEUVsWLNxBfMPDSd7vDmz+WLK3IOtJ/NOW4zR3bh/S6Nja7pRbGEhPNGi4cJxJswzF85999sK35TNln4aRzph2S+JhdNFM5Vi4vEln19yNGVIunGOOTFuCAmvBE58Ft375Q7dLBFhUNuVVTppjKKwCaVuqD5YLcf9rjHK2YGa67UBRF8F4vmMJCQ2sSAHQ+92zS87Qm4X83vgdAbT8T01ifYkIMpgwsNLK7kOuQbohdL/wV33q+AVZ/7oo5Huw7AgCjmtkU8lmw60gPXvukEYjpzdayyNretRvrWzfgV1seHbX3zXeOtnnxhzcPIBpLv+pr8h7D07v/jLAmK8rPBbC9S2rya2fVVWmB2QmWYpIqwfOikLWspj+/pbbykUUWHRdZFMspi4ZgOJbTjNJU4uG2k27GD5d9d9BxqbCy49OSJUSj8B44qKtpZGWtEDCxRVZJg2QB9n66HnecfAsAYJF9FgCAsUmWLG0SR4lVWhh669R9YiyG3rfeROPtP4UQCYNikl2s8vcoHxI/GLsD9njiVqwve/1Fi8/5AmY/+tuMa0pmg9x/2uOcRDEzHIRwGGI0Kin6eMCibE1SxgQMMvziImsgojYOlatcxzRWtWAslLK9hhZr7UyYKirg3fAZfFu3YGCdFARe1pn9ooCecD+uX3urUoVYZne35N7JpD/hYJxWehZiPTV44Pm94DRCgg2qhUwHwkE8+85B0KL0dxiJdXK8ce9z27Bxfwc2HUguKqrl19uewL7eQ9jRtQfHfW045m3BHRvUFjlmRi/oWdqUtADhRT5rF/s9DWqhRi4m3ViEaFxkmTjsbehF70AYP/3dRtz42CdZmUMmpBJPU53VusD/ntDQbkK2ceou7P7737D3Z3fAt2kj7jv9Tvzv6p+BBp1TS3q2icQ4UBHpGkPbbKh2TMFjK25DZYNkQafj7dVMjAmzi2ZhbnGd8rvp/uJK/OuMIlCuOQAAz5q3Ee3sgMhxhjFZ8ueYDyILAMovvAgAFLGVDSiKyl7mYoZM7IjCMUDbsmO4liy5pQ5TWKjWqorqLVlMQWFS1qHsLpTbMWjns1fTmDcYC6Ekg6Bx2mJB1VXX4PgDv0So/oiy38Rl359954b7AEitUn552u34+6F/ghd5uD31mFEwFWW2zDIL01EtLkX0qCRCeUG9cDttJshOpEAkgvW728GWqebrfEv7zxosB6awF9FoctHJp17fh1A4ilu+qbbKcJoceHDb44NaWliaSVqACFm0ZJUXWdEzIFnZ+rzS/zwXF34mDo+9skc3PhCOwmEd+1g8+XOzsValVtK5tWcBAKYXTIXT5IA/GlDqf2WKdZy6C72bNwGQQiMqV58GQBIEmcRkRXgOL7pfQ1ugA7esvH5clIIINdRjoLsZ5qh0fnJrmZaHHkA03tOPcahW4f+38ge651usTjROs4DvN4GG1G5HwaB8g6D0KsyOa26oWGfORO3dvwBTNDoJTflK/n8T8xxOU5V4uFYPuas6W1ik1qqK6F10Rr2X5NVKvSaeozPYjTVNH+LNo+8CkDKNvjTzHNQV1WY0F7ZMignT9lJkI3qRdczbAl7kMSvD18wEbYHU+7b8Bn5N7ZZlaXqrDYXe+I2XAhDjpfe76Mw67BYPoT/u+YrRQbDTD+FgWwkQLzDP8dGs3rjCsTC8nB8VtrKsxSYYwQsC/v7BEZy6qAqzpxbB4toK2uFDBz8TgOqeberwYtshyaWhveF1hXqSBJbZwC1tok3wRwN4o+EdTLFX4KSqFVm1ZPGCiIpiyZrT0CbNPRoyQxQosLYQ5tSW4GCzWsohFI7lRGTJWbtm2owQ1CbJgCS8Hvjc3Xhk15No8rSA47mMeweOV3ehGImn81vV3xpFURm5S9e3bFBi13pDfUoh2nzm+H33AgDmKHuk35YcrgEAjDN1LJF8TRJMapSVeeo0cK0taS1ZVB4tGC3TZ+R6Clknfz7tcYq29UNMiEEIhxGJN73MBFEU0fPKSwAkS5alWiqz4Nu6RT/OIAVVXvlorWn7ew8pAguQ+o6dM+OMjAWRHCCofX9LWC/wHtj2OB7a/mTWsn780QDmFM9SHo+WyOoZkFZ6ZUVWtHVLIq6q1I5Vxat140zVTegv3Kk8bgu0j1rwbU+oT1czqjPQhVvW34V7Nj2ITe3bRuU9MmXXkR6s3dGKXz4v3Zxoh+R2DgpSNhvHRxGKhfHJHvWir7VIya7cuqKZ+OHy72J5xWLctOLapPdhaQb+aADvNX+E5w++hMaBYwAwqq1ftPC8AIamUVYoiY2nXt8HXzAGMeyAxRnCpefM0Y2PxHIT8yN/p0wa92piFfsFFXPBi7zymWVCYpHW8YY204wGlbJDhUyE57Ctc5fy2Mf50ozOX7QFqWW0pRkSUUJDNAHw1d+/Tgr0tquf4TFvCyI8p8S2MXkksiYD5NMeIYnuwmP33Yvmu+/QtTlIB9fSgvDRBgBxkTV9Omyu+QgdOQzer8ZhiQZtAeR+T+mKhbb621MeM4I2Ja+W7UFjN2hboMNw/2hwctVKnDH1VHy17vykyt3DpTfuOiqwm/DhDkkIMwyNWmctQlvOS/m8h7c/hXebPhrx+3M8h7s33o/7tz6m7KsfUGPQ+iJjm/nW71cXCBFNg2zZlvaHvc/h3s0Po1+T+BCOqt+FowPNoEDhu4u/jQWl8/C9JZcbJigkJl3I7q9sXexjvAiGoRDSuLnX7WyFGHYgIkTgLBQwZ5qaVZoq0F8URWw71IVQJDvFGgXFkiV9PkXmAqVfqMzCCsl1W58m+zCRbDdyzjZsgdqjVCohk14Ev9HwDlr8bcrjkdQrzCVCKIT+9esyHi9bsro7pcxztqQUlpoaTP/xz1DxzcsAABvbt+GBbY/j3aa1itclnyxZkwHyaY8QnbuQj4KLW7EyKSYKqH0CAcldCEgprQAgxjTuR4MbgZwNyKfpMD4ca4FjqX41bQ8ZX7RGK/NOFMWkGAoLY8Ylrq/hvJlnj8p7AEAkftNtbFdXuiaGBsPQgEGrITqqBkx+3PJZ0vGhIhcd7A1Lripe4OHuq1eOC2NcyyWgyazb7laLsNIUhTZ/Bw70udEfGYA/orpuIzF9rODMwulJwiCRxGKSnaHu+Ptkz13I0JTiHpYxxaR53rnxPjgWbsOXTpWsxu9vbUkKruYFAR9ub8FTr+/DHX/cnJV5yt+DRWXzcanr67g9nlmmZX7FbFCg0pZ4SEQuvDoRYGhmUNHkjdcRO6V6FYD0i858p0uTRT7lyu+mHgg1wcHWL/0+zVOlwr62uXNhnjIFoijiH/EG6vt6D+L95o8B6MtBELIPEVkjROsu5APqzagrYNwaJxG5rQCgVvdF/OajTWUWeR6MswBsmZqKKsfvpLqorJ6xClcsvDSjeWip/sH1KDn/y8pjc0QAn0UB0B7oTLqQZlJyYqgYeTedNhMKbMbvFTqiuik5gTMcMxT6Eio7P3/wZaXsAaDPVB0LAnE3sMXMoM+rin1BBD5tU4VFIKZ+r0MxfdxhJlmfiSJLFpaZJGMMB14QwDJ0UnmGE2uWo9JeDoZicLi/AXBIWYgb93dgSzyj0huUSjz88d8H8cIHUvKHxxfBwWbPqLvH5T519f2NOH3qKUo7IC1OswPltlKl0Gsqjg40KduZtp/KJ7Qxp9rrntPkQCgWSnv9icR/mxU2qehyrjtUZIL2fAccNMwnrdIdt8yoRdFpxg3SZWYV1eLEKSuwyyV9b0rPO193PBANKteUVn871rduAICktkWE7EJE1gjRiiy0qCZrOo11SUu0S714ypYspVqvVmTFYqCdDky98eak10gUWZfN/wZ+ddoduOnUq5Vq70OBNplR8Y2LUffQo+AZGrQgwq+JI3LE6yAZxX5EovygdZYSMVqlZxrkOxSMUsELHWZMKbVj3jR9UdJSpgqCXxUBur/zMOkNqy7k3d37sLVzh+54NoWsEYGwJEKcVhZNgQZlf5SPYYumAGaIV//2kYSs16UVg4usRCul7NopsYy+yNp6qAsxXgRNUbjuwsUoL7LikR+ehj/95CxcfsZJuPuUW/GDpVcCAHaGP8TV/yHdcA4f78f63W246fFPsWbzMeyu1xeh/fXfd2LtjtZRny8AzCuZnfa4jbUhzKeuVdcR6MLD258CANQWjF49ubEk6lF/G9rq3HI1cn80dRkZ2boqu8/G+nc0HLQLcuuZn8OMK65B1ffUeMaIQfHpRKysBVcs+ia6Fk3FXy+bBfuChbrj3hSxaeM9Zm+8QUTWCNHGZB3do7qUeINsQCO4TjWuSa6JIqffyp3DhUgk3o+KNSwyF4qFda6XBaXzULRpFWcAACAASURBVGQpTBo3VNjiEggWFpQIDETUbEM5ELXMmuyW+MHDH+P2PwzNvcIZCJhsWLJ4PllkFdil9/mf/1qGWJfaR6/OtgBGLsSR0K/5DH+/97mk42NtyQrGLVkMQ+PYgBq71xtrRygWVnrgRUT1BhfWWLJmF83KKIurV1Pn6WtzvqJsZ8Ot86e3DgCQBOSq+ZV48AerUey06LI25UzbAc4HR6UHxU4zNuzrwLPvSKVQXlnXgDDHY9nsMjg1Vs6/vX94yAuIdMgi8z/q0veOs7JWRIVoSvEgN1AHMKbZqaNJrFc9B+3iUhVZBnUC4wRiQdhYm1ILcDy4C7Uiy2S2gjabUXjyKcN6LTNrQYBOPmcfZ/yZWbKwgCWkhoisEcLx6k2nokfjcslQZMn1UGpuvEmpe6W0yxEFRFpbUH/99yEEg6BYNikAvj8ygFa/lP12Ws3JWFQ2f1TdMDTNgBal9jYyciBqoosvFheFPQmxMINhdFFMLGg5GsQMrIts3Gpos7CINi1GxL0ScwrmYI5jYdLYkZIqtkQWlPwYB+z645asLk8I/Zr+eIF4duGMAilmia90K8e4eJHcM6edllS3JxX9nPraZ0w9FT9c/l0UmQuwpHzByE7AAC4q/Y0vWD0z5RgTY1LEXlugDeedNEMpWqpl+dxyXPVl/RwPNHmSxg2VVn877t74ADyRfswqrB00Nk0OZI+ksGZpA8OpUV4YjBXRFCLLaZLiIo0Ewz/cr+HfR99FT6gXlbZype7aeGjDI2hElnmOasms/v51AADnCSszfi0LYwYncBiIeHHYo8Z4psqyzMYClpAaUidrhGgvfAUBVSzwfGY1s/iAH2AYOJcuV/aJ8UKZwYMHEe1RY7soloV5ShVs81woPEUqO3B0QDUr//f8i4Z3EmmgGAZ0TNSJLDnmIbHApC+onnOMFxQBMxhGK3SjeksjJaaxZF134WLMm6EXo187ow7bDjlx48pV2NuQnB0a5aO6dPuhkurif9OK7+PX254YFZfkUAgqpTlEmOxqokZAlGLHFpcvgNtTD9oWACgeEBlE4osHdggJFdcs+Q729RzAN+Z+FQzNYEHpPPzq9DtH7TxkZCvTwpklOGVRVdqxq6Ysx2v1b6HV347LTzgbvQNhLJ9bjt/9a7/yPV41vxIUgGKnWcnEDI5CpuGm9m2K9ak8gyB12Q0W5iOwG8RtCZoSB+PVkhVpOa5si5pCwbIly0hkfdK6UdmutJcrST7jw5Ilnc/2+TacMU118RaceBKsdbOH1GvPTJshiAKeP/gSDvYdxq2rbkBt4XTsjJdYmeqsVrLM5xbXjdvvyHiFiKwRotwYRREFQfUmmqklS4zxSbVQArulGk1df3sOzhXqioZiGFAsi+m3/gwA8MqRf+my07IBzbCgo/qgbfkiliiylGa8AAb8HMqKVN+/nwvAxloNsx2NxMdIxEwq+Lil7ZKz52DV/GQ31wWrZyoWEIs5eZ6+qB+lzPCDio0CpxeXzcd051QUmgtwsO/wiIXcUJCzC5mKFqBIrSoeg7RwmF00EyeXrcbm3g1gytvAd09HJL54MFGZXzoWlbmwqMw1ijM3RhZHBfbB3SFF5kI4THa0+NthMTH47y/OAwDceNFSHOvy4/PLa5Sb0QPXnooPt7fipU8OIDwK3Q/kgqMADEVTIrIlq83fYRjUHtMs6MZbvI0Yi0HgIggdOazu1MZkmeIiK427EACm2CuUYtC7u/fjtJqTR3+yowjvk6y7fUVsUucDU9nQ+uzJ7r+DfdJn+OGx9fhK3bnY1b0XAHDxvAuxsX0rGIrBN+ZeMNKpE4YIcReOEOuBRtS1RFDs42GJqjdRo7pWRog8n1SdV5txqG2lI8dj1fc34ucbH8BHxz/Naq0qAGAYEyhRTTcXRVERRTEhhne3HMMH26RV6EBAtep5fOp2V7AbP/n0HrwQTydOxCgbyEzrb5RhLjak7K4+bxhP/HOvbh5RXsDMqgKcd9LgVYanV0oXd1ukRtmXKsbB8P3DHvxi00O6XoxG5zm7eBYYmsHJVSsRjIWwp+dAxu8xUgLhKEAJYKuaQFM0Lpv/Df3xATP8rdUAAOv0RtBF3eDiMVmJGYP5gCKyUmSLaqEoClOdNegJ9SIcU78js6cW4awTpupW+yaWwQHxA9hWrEVnqB2iKCIYzaxEixHaIPZK2+CJKXIF96f3/AUBgwDwkOb1jDIU85nmX9yNhhuvR6S5Sdmnyy5MY8nSUmmvULa1bcZySWygH/49uw2PyVXd+wuYIVmFjUhMEtrZvRfvNUt1/WysFbOLZuLbCy7Gf8+/KCsJRYT0EJE1Qma9sQUXrB/A9Lg3rd8pfaRCb2bFSOWAdt0+jRWM02QfUqz0Y/y0dTO6NcGu2YRm9DFZWlN8VIzhxbX1Sqr7gMaS5dEUsDzmk7KyNnUYVzQfLCaryxPEdY+sxz/XZ14r6C/vHMKOw93463tqPBHPixm7MJ02E2rKHfAfWIZzpp8BIHW2jhGftW1BZ7ALj+54WtknV1wGJLP9tUuvwBdmnAlAcl8BwIFeN8aCQDiKGC/CPHcnaFsAq6tPxILSebox7V1R7Dog3dwENgiLazv88XZP+SayBFGELyR9/5z2zCyBxfHkECPhosUT7kdDULpxe7he/GbnM/jxJ3fjmDfzzg5a5BCDc2vPwuemDh7sbNEUF23yHk86HhnHIotri2dsiiKss+oAAL5tWxGLW3qUwHcuoHte4oKr0l6BU6tPBACU24ZmCcoWR2+9BW2PP4pob0/SMa5DWhz3FSZbsoaKVjidW3sWBFFQukfMLZ5N3IM5JqM7jsvlqnK5XH90uVxbUxynXS7X/S6X6w6Xy/UHl8t1iubYJpfLtS7+78PRmni+UdIjrWwPzZRWnfzAQLrhACQrVrSjQxFP6gGNRSyiWrVom5TtlY2g8FRQNANGpBSRpb0hcQk1k0Ka9jser2begwT2Gll4tDfxIy3SZ/nWxsHTmmWC8aBuOaBZEEXwggiWyfyCU+I0g4uKmGKTKs57I3qRJYgCfrPjGbzd+H7Scx3xzDwtYvw8ZxXOwJWLLsOS8oXKZ1MYL+gZGYV6XJnw0lrJzUwXSIuBr8+9ACXWYvzP4v9Rxuw72otEr/fh49L4fBJZrT0BXPfIx3jkRclqUOLMrOK5HPcXHeQz14rrfcKHinXyk9aNeHr3X3Co70iqpxoit4A5tXpVRsWCtX0zj/uSy0hoLXEO1pF0fLxQcv6XUHrKyYg0NaLvrTcBpHYXJoYYVNrLQVM05hbXoTfUp/tMcoEYiwHxVmhCOHkucjPniJka1d/SV2Z9Uff44nn/OWqvTRgemVqyTgfwBlLntF8MoNDtdt8L4CcAnnO5XPLVY43b7f58/N85I5tu/mIPSz/6cI20iurqa8FvdjyT1vohX0hinswylqyzpZ5r8upuLKAYGrQIBGMhhGIhXeNmUCKgCbqN8uqFL6xp0zJYJfNES5aJZnXCjNcEwhrVujJC9jjIHefl8g1MhpYsALCapYtfqVly6bx3bJ1uRe3j/DjSfxRvNb6PAU12XjAawqv1/1Yeyxd8WUx+Z+GlSVXS5VpSsWE2GR8q0scigmJ4zC6apcR1TC+aAq5pIcL7T0FThw+JP/nGHsmCmu3WLZEoj9++ugd7Gga32Da1e8FFBRQ7zZha4cCS2ZlZMuTYN26QzzxVjaYN7Vuxr/cgfrvrDxm9HwD0hjyK68vCZBY/pf2sA9FA0vEwry5onObxZcnSYpvnwuxrvwcACO7bh2hvjxTHSTHoTyjkmyiy5O/vtIIaiBDRFhhaO7HRJtSgxsqKCbXlor09iLS1gmdoiDQ1YktWV1AKKZlRMA0srVrGrIwFxZaidE8ljAEZ3XHcbvcrANL5Sr4CYGN8bB+AMAC5SuESl8v1E5fL9XOXy/WVVC8w3plKSZlqKxZI7h/vQDeO9B/Fmw1rUj7Hv2tnymNGyOb0MU3TjluyAOBH6+/W1eSRjmvch5o0+JhGcIX49CUdErMLE1OMtQH1Hb3pXTsyasd5/XxYOvPPTg5+LzNX4fzas9ET6sW7zWuV49o4EbcmdfpAQkzIIzukQpGyi4M2MN/L5xzNMJYvFYKYWXV+byAKWSBri4XaLCxuPvurEAPFOvevjMhKK3CnObsWk70Nvdh5pAe/edk4pkWL/P24/Lz5+N+rT0ZxxpYs6cb88LYnkyqq7+reh8d2/h4vHHrFUNgMhQjP4eHtT2J7527d90RroUqHVRPMbtQsOaK1ZJnGryWLLSgEbZE+E66jHU23/xQURYEXeRz3tyklUHycH2ua1yoW/0vmXai8xnSnVHZEGwuZC8JN6vuLUVXEi7EYGn/yIwh+P4R4Y+eRNkqXLWGziqRYU3nROq2ghrgK84DRslNWQi/CvPF9APCA2+3eErdsrXe5XD63270+3YuVlNjBJrrQRomKisxTYzNBzompiLEIm0xYvGg5juGvsHLSBcAneFO+Z2dxISLHDOb1o/+Hww89AgCgrVYlEL68uhT2igJY2o0/G6P3Gen5tlvNiAiidEGjKLx7fK3uOGXiIEZYVFQUwGT+/+xdZ4BcZdk9t02f2dky23ez2U0ySTaVFEISmoAg0lEQlCIqYkVA/SwoqKiAovgpggqKfFYsFGkqHUJJKCF907PZPrs7bafe9v14b52yO7PZ3WySOX9257a5c+fOfc/7POc5j3470QyjvTc9qA8Muc6H30EGiUpHOYbiQdg4q2m7OK8TtkA0hcXz8pfna++pkCm7jYPP59YGYofDUvA1aW3y4rUtfegNJnHJcWfjmQPPIyKGtf17DUTS7mS15RUp8/G7R3rhLGPBWcn35qvyoNJh3kaWZUKeGSnr/L757J1ICWn8+Kyb835eFT9+9VdY370Rf/jQ/46aVu4PJeB2cRAA2Kyc6Tgn+9x4Z/cQnn8rW/9DO0jEbk5DM3yeif0tGRHYoL+3y2OH3UrurZz3j3J7zWj0FnW/N4drgQPEBLYjtgNNNVV46L1/4qxZJ+OJ/c+gNzqAnUEgRZnTPYtxAfaE9mDEu1lb5vZysHG5I1Ovdb6NveED2Bs+gBOa9GrhhpqKggbBmgrdauSFg6+irrwKF8zTG5rLuyTTthP9jJtMGGoK4fO5IYv6BEEWBFRV6JE5i0tGpcOF7z31I/SNBHDJf4Kwlpfj3Ev1a3GyZzn+1PEPvB3YiMuXnXvYSEaC1r8Tj4OFV/lOBtfpthO8lQFN0QXfB/nwhTVX4cmO53HpwnNNxP24xvZpeS9Mx3OaTEwUyRoAYLxyHmUZOjo61it/Rb/f/wqAUwGMSrKCwcKiFcXC53MjEChcvFwMkoFB0A4HkmkLJApapWF/dCjveyaGSJrQd/nHTNuIja3a/9aWmUjs2A4ACEbSiAWiGInpkaF6Z61WYZj5PhPxeSWLDRBFfG7uFbin4w84ECJiXzFSDsYTBGUfgZxyYMPmbvzjBX2W/vgre3HBmhYAwL4evULyH8/ugCQDpyxp0JYFRoJgaRZezoshBEGDMZ333oN6OnX73iEsnmn2FkqmBWzeO4wPrG3F4CCJLqWVdGVkJIVAIIpAiERgREEs+JrMU1rtvLG5B4tavGApBoMjIW3/gwE9+hEMx7TlwyFyDkt8C7Uy6hc7NqAnRLYPDschxbJ/ehaGQzQZN50fL/LYNURmxX39IdOsN9f3u76b6H0O9PbnTRWkeRF9QzHManKiC4DAy1nHOWFetUayblh8PX7f8RCGk0HQrhAomQWbsCOQmpzfEgDsPainh1595yCWzKrKez/3D5JIk5jii7rfF3kW4fOLHfjFe/fjlX0b8Pj2/yIpptAfHkRvVP9u3+o2R9PeWJ8E0IAzVi7DJuoJRORBdPUP5e2yEA7rkbDdg/u1/9V7dTT4fG6kYubU2J82PYo1Vav148f048SjPALs5H0vk4lAIJo1AG+79wGcvHQNXupah87+APqZMPpGyPOkbkgAhgJZ3/miqvl4Z2ATNuzZpkV3phrRIV2TO9wzCL6BnGPXv54CAHhWr8Vz5d1wWqiC7oPRweHsxjMRDaYRhR59rmXrJ228Gy8mcww+3MhHHsddXej3+51+v1+tm30SwAnK8goANgBb/X7/XL/f/wnDbrMBTK6x02GCnEqBcTjh5OxIcRQsaQmQZZT1j5hmZ9r2sgx+MABLYxPK33e6eaXB0sGu6LAAaH5aRg2Tv5ysd01SmoBxk4FjFluNhVW6C7oYJNEk2k4eEN99UK0clMG1bQTtJYMUL4jY0qkPWA/+dzMeeqYD37r/TeztIVGRSCoKj8WtefwYK4c6OoPY2aU/sHKlsH7+j82499EteG2zrsNQ/YxUw82uADnPmvLCNStVZUS8HomlQVEU3Ba3yUV5xJAuNH4narquvdKP65deCwD4685HtCa++QoBym3lWU2kjX0ds1K1GTDqwnK1KlIxFElClgFfObneudIVrfUezKxzw2lj0VpRj9leJVXN8RBG3HhtS3/WPhMJo6Zv8xi6rEicfFa3s7jydJqiMa9yDlbULEVvrF+zVlCveaNLt+94X9OJWO5bhvRevWn4f9f3YbifXMPRegsa0+X5XP9Hw1j6N+N7VxZgbjpdYKyiNppvNt70Ve3/8MsvakUkcT6umWoa0fvAr02vFytNyw/kqMScKkhxnVinlArK2LatiG/fBvscP2qv+SQOVFGTqqHL1H2WcHhQaHXhyQCuAFCnVBDaAVwN4HvKJg8DiPr9/lsA/AjAlR0dHSJI2vAcv9//Lb/f/yMABwH8eYI/w7QB7XSCYzikLTRsaRnte5I4+1+dGPrXo1nbCqEQ5FQKnM+XtU5rqwNd7A4YSJbBR2Zl7XG488Rbcdvqb0zkR9HAKsZ4wvCwRugAQAoTMThlM8/CKEcEbGUfrHNI8+On3+xEMG7YhiLn3j0Yw7otxHMokjaTLCNhueNPZt1aeMQ8mL2xrQ/bD5BIV2cfIUCyLGueSWoT5OEI2a/BVzgZ5VgadiuDEcW0021xIZKOaiQwatDq9A1nEy6GYjDb24YGVx0Sgj7Q5ksNVNrKteKCh3c+hsf3PIPH9jytre+PB3Lup2Kfwf1fbfekHsPo66SmTl0Ocj/lIn0UReH6Dy/Gt65aDpoyV0DJMQ+eKqLSczxIGUw/X3i3G9fc/jx6Atkz/mg8jb09YThtLKzc+CQGZ7a8DzbGihU1S03LV9Tqr+uctfj4wktx56WXmneWyHvma3kDmKtSVQPfa9o/WvD52cYwGFVNOL91/E05zUqnK6S00th51my0/OBObbmx0bGc0l3uY0Ic3Upz8U8s+Ji2TfT110zHdSp6QeNvbqrBD+q2DeluEv0f+OP/gWJZVF30IciyjJgQn9QipiNZn3c0oaB0YUdHx0sAXspYfI9hvQRSVZi5Xw+ACw/lBKcz5IxeeIzS4FmwMHCE02jtIg/ekY0bUXWBueUNr5jRWRsakQUDybK36n2tVNNSSRnEv7nyRtS7Rm8fcqjgKgmZ4gcD8Fbqs2Q5aQckGq7yJIJGjalsJhCPvrIPltn6jJWi9CYgyZSIuJCAKIvwWNwmATYAhAyE6sOntuHpNzq19iYqXt7Yo/3fNUAGsxQvakJ3NZI1pFhKVHiKc8R22TlElUiJx+JCZ1RAT6wPDa46k/B9wJASEpRIFkMzoCgKX1jyKSSFFG594w6yPE81UbWjCluHgA197+KlrnVZ68ciWXsjBpIlpRHj45pQn6VZrbxbJaBOOw2MAEyeyJrHYYFHcU83fjdSzAOWnVyLvWRahN3Kor2lHG91kM/9xLp9uHBNC9GvKUR1+4EgEikR54zSq3As1Dlr8MO134aF4VBlr8Q7A5vw4TnnYY63DY/sfhKA3kao3G3FDZcsxiMv78X+vihkkVyXWCphFkwYYKwwHuFjqHfWYlnN4oLPz5ojkmW8BpIswc7aUOusKfiY0wFymvy+uYoKMPZsyxMVTpB7MM7H0aVEslo9LTCWKojRqBYNUydrcWFyZCeFID3QD7aiElIqiVR3F/jhYfD9fXAuXgL7rNlICElIsjSpkSxHDhuZEqYeJTPScSKxdw92XXuNaRlboUR9GAq0BFgEQidka7YAWZ3F0bbsQV8lU1xtLRiXYabDqLNmMkhORTd1rkohWUODcHLkRytLFAAatOBCmokCpoonnWTtVHU1jCFFQktadV00kdZSXB5rthD85t+8CQC4+ORWnLmyGV6XBeFYCpFYGn3DcYiSBIdNv7YHesmxRgw9FBMpAWlexLBCsiqLJFluhwUjCR6yLGORj6QhfvbOr5AUkggl9cHT2BlJjWSxCplyW1zwOSrxreNvwicXXJG39UmDk7irbwpsNS2/ch6JngyMQbIG43paTZBELcIBmBt8q+k15yiRrEwYI1lS3IPjZmdHYCcSKV6AzcLgmg/Ow7XnkshGV38UkiTj2w+sx68fJ9dIjVC21B5aakQtEjin9f349qovY17FHDA0g28dfxNW1S7Hgsq52rYLWyvx7atX4DvXrATFkmv8ZA6vNBWRIjoF5EKu37mxpZUsy6CPwEe5lCL3IWUZ/TnmHCS/s7iQQPdIL9ycC2WsmZyo5p4A4ObIvVCMefBEQkqnIYZC4KqrYW1oBD8wgPgWos20zyHtpeKKLYjLOnnRpkOtWixhYjB9HAWPMAw9+s+sZayXVAEJlAxGBrxRMtiKluzLrHqn5HrAUDSNqos+BK6GRKmavn4zUt1d2mxPnaFNhbuzmi7kh4Yw29sGP3MC3ttEfrys4ELaEgHYNCAos21DVc1LG4kWgWINJIuS8Onz23H/E9swEue1B6HH4jZ54ew8GNKa8a5dWAeaolDmsqIrEMMNv3gVsgx4HBwiCqFq9DnRNTACQZQQTRhKpkHSTUORJBiaQlmRuh2XnYMgykimRaypPx69I/14oetV7At3IpzMTgMBhnRhxkOu1lkzarShwU1I1s7QHtPyOeVtoECNGcniM87BaAeRK13oUKodCyFZRl8iOeEyeZdNBlK8BLuVhc3CYlV7LR57dR92dgbxx2d3onswhu7BGK49rx17FWJd4Zkc365aZw2umH9JznVN1S54fHHEAeyL7s97jMzBXi1USfMi3tjWj9ULakftRJDr+0lLeo9LSZaOyFL92JZNAADakv3d1V33WQT//QyS+/bC2h8ELMBgYhjDySDmls/OyiKk+3thnz0bAHHypynaNLGYSqit0CzV1QDDIrGzA6EXSUTZ4SdkXTV1ngwrlMvnXnzYzVhL0HHkTX+mCXKSI4489ESaDECuBHkQ8DmaDctpQgRoLneZfcXZ58C9bDkAIn73nnSKti7Ox8FQTM40wkSDK68AKArC4CAoioIlNBtykkTXYiHy/rRND8tTlP7w0/oGMgazR1rC0tlVcNhYxJOCiWSpkGUZ/3ptPwDg2nPno0zxPfIqBEnVxUcMEauWOg9ESUbvUFzTUL1/RROcNhaPr9uPwVAS5W6rZu1QKNQ+eOox51aQB/ne8H6TMavRtV5LFxZpMljnqMk5oJZZPSizehBKjd5FwBi5EjMiWUadm5outNuZgs9zKEGc3pscMwBQJh+08YIXJHQNZEd5eodiiMTSsBk0Vm0NZYglBbzwju54nuJFvLWDJI183sOTGmmSl2j/GwsPjMgXUfnrC7vx4NM78NirxXs6/XH73/DE3v/gtjfvQlxIHHEka+iJxxH48x8B5I7mu5evRPVHrwQAsAOELO1SJh8N7jqtmIh2EJJijGQxNIMyiyeriGSqwA+QohDOVwNrI5GDpDoPgLbbYW0i1Y4xYfJI1pr643Fa80kTftwSxocSyRoncs2+dJJlfuDxOeKF0iiRrLEQ4+NwcPYpebBSLAvWWw5+iKSieg1moHKSPCAom042LjqlRT/PpAC2dh9oq1H0LYFlaFhYGrwoaRV6HoMANBLnsW1/EHObvTh+vh75KRvFZLJZaejcFRjBo6+QQaum3I55M8qRSAkIx9JF67EAgFMGetVodWbZDADAlv69igiebCcao0jK/8U2fuUYztToVgVN0bDQnClalguZkSzjoG80KN3XGwFDU3A5aOU8xw5onz3zDCysmocLmom2kJ8AkvXPl/fg279dr/WX7OgM4tM/fhHfVNLEbqc+AakpzyZRr2/VB1anbepaTRnRYGmDlCL31f1b/pC1Xi3sqHfU44ymUwEAVTaibdylpNM7+8dOJ76v6UTT6/cGt+Lp/c+iN9aPSDp6xKULjZkAz9rchIApIxYkTJxM1gbiREw+w92ktayxNhArGLXhsooKWznCqUhBxrzFIL6zA6keogONvv0Wgv/9d1YfRV6xduGqfbDW65pbR/tCTQqipgvdk2zqW8Lhx5H1y5xOyMFvaFYJ32dc1VyDo6zqEbhxkCwhPqWVI1xVFYTgMMQ0j75hnWTZQewdVJJ11gm12J56U1sfoXvANZsbHtNeEkrnWAa8ICGuVADZWTtOaiTeP8l9fqyYW40bLllsIpJlrvzXqkkhWd2BGPYpKaQkL6LMqROzynGklNReh2rkxsk54OKc2B/qAWgRcjq7IlKNajFU8dn4mhwkCyCzcyFHI20jzJErCXsUywjj+YVjaezvi2J2YxnSIClEdwH3UqO7Htct+jjKbeQ7F4RDJ1lv7SD3wvPvdEOSZdz9902mrgH1lfp55SLYDz1D7q07rjvhkM9lvJBkGUIPKU7ZG96PW1+/A5sHt2nrE0ISgiTgYDePzvcacPPxN+Gm5Z8DAK2Io5BU5/ltHxh1fSEp3+kCIympOPd8klbLAbWQCAlzleAS3wJEN6wn25R5QTudOUmWDBkHouNr4p0LiV070XXnD9Fzz88AAP0PPoDAX/+MRMcO8IbWaGmFZFmqa2Bp0P0AvSefov0/lCDbVzh0o9kSjk4cOb/MaQYxll25QlkIlu+4UwAAIABJREFUyaoZMpMqKYdPlhrJoouMZEmyhDifyNmAeLLA+aoBWUbf+rdMg+CXL1oLQE8XduBlzQsKAJKu/cgEV0+iTBxDgxckJDWSZUOTuwGX+26AFKzFgpkV4DJc/3O1Szl/7Ux8+SNL4FFSiWpjaECpjjNEQ8YTyVK1MoKoDwxlVo8WndNJliFdKI8vkgXoYnkA+NjcD+OG4z6jLR9tVs6LPAJxvWxclESTUF4lWbu7SPSkfWaFVh1ZTBm5fj0OjWQlUoJW8QkAkiSbbBsAPa0JQKtyNMJl53BCe81hSxUCwPb9QYiBJsgiuS6BxBDu2/Sgtl5NFcq8FRt3D6LOWaOlxtUUtC2HnCATY0Ubc7Vqmk4Q4zEE/v4whFBI62ABkKrAfNCi/DyvFYvYGBtG1r2KgT8+BADwnLAanK8agsEyAdAjRHe9fQ/u3/x/pkrg8UDiec2Pi+/vh5RMak2eu358B/Z95QatmIkfICTruZHNuOXdu7VjGIuYemIkpdhUpnuxlXB0okSyxgExFkNiX7anqpouVLVYKiQpe0AaTfg+GpJCCjJkzTtmKlB+BmlbEXvwV6hJ6RVsTeWVYMBpkawUzD3eZDa/Tw3H0hBESfOyUR+iqlO7JYfnkVG0ftnps1HmsuCM5U2Y31KhNX4WRBnlbkLGTlhQa4qAFFtZCOQmFSYndZ4cP5cZKT2Oxq+nNBHi+vH5l+GE+hWY5Z1JzoNmR00X7gnvR1riYWP0yFpntAsO1g6O5jSdWH+QDAz1VU4tVVsUyVKsG17f2m8itMUizZsJVSiaLdRlmNxRTLuVwar2Gtz9hbX41LntWftNJbR0tmgmQbxSAWwkWUYYG51PRBEBNc0jWUP/ehzBZ55C329/A2nE4CkXya8zpCgKoCjIkgSHUk1YlWTQ//vfAQA8J6yBa/ES0DYbZEEwmZsaK3jfDWzGvZt+d0jnn+7uMhG53gd+rTdGVSAbSBbj9uDJ3pcQTOm6MMogMYmkSbS90l6KZB3tmN6/zGmKzh98F3KuSJZCskIu8+Aq5YhAjCV8zwfV9HAsF+iJhLWpCc7FROC7LLQDHz61DT/74lpQFAUONs2iwUKZz0ktb88FjqUhSrJWKWlXInMppU+hhcu+Nd0O/VqdsbwJP/38WjhsZHBTGz8LkoRytxUsQ4GmKC3CBYw3kmVOFwIAR+nHzJUuVNN644lktZbNwN2n/ADLa83GmGq6MFP/oUI1Io0PEjPKYCKKQGIIze5GsDRLSFd/FM+/Q9IntRUOzVqgGJLFGYiP6l81HmRqun7ysLl1zQVrZ+JDp+gecUaCfdsnV+Hac9uLLmKYDJyxogksQ0MYMkck3g1sRmekS3MdlwVy79732BY8/06XiVRKBZKsryz/PKrsldrrVkUfCBwBkawRQjbT/X1IdespvPL3nzX6jjQNyLJmH1MT1u+bMqUYSG0qLaX1a2rPiPSrhRvjRbqX6LDcK1cBAGLvvqNX4CiQBR6yKIIfHgKqdE9B642fRdWHL4WlRteXpkUeNEUXpIcs4chGiWSNA3x/7pYitKKvenu+Ocoky9mRrPEK31XdDUdPrdC3/nNfRNruxpzYQTRX2OBW0jcyRC11llntSLH5W7twSkQkzpN9VdLIC/kjWTXlDiyb48M1Z8/LWmeMZImirL02Ds5VZeMQvueIZEmi/rNRIxRGiwNRqy4c388r05QVAFhF35UUc0cH1WolMU7uvZ1BUonV5G4AQ9EQJRGPvboPw5EUzl3dgrpKJw5GSaWeiys+XQjkTuEVCmP6FYBJ68fQFM5bO9N0fK/LigVtlbjwxJlapHI6gKYonL2qGULXHNPyx/c8gzve+l88uof0qlOd4ddvH8Af/rNT66UJFE6yWjzNOKvlNO318bV6s+npLnxXJ5Myz2P4qScAADNu+S7ss2aPuh9FUYAhklUxTJ4p9Z+/XrNsoK3kd73/29/Ezk9ejVRPD46vPc50HCnHM7gYJA+QSUzZSSdj5p0/yblN/0MPkgIhUcSIR793xYYaVJypa+oe3Ppn7IscgIW2HHFVoSUUj+n9yzyMiKZHxuwVlwk1kvWB6jXmFTmiD2okq1jhu1pBpnrkTBVkisJ2dwtsUhqNSd1rOQUyONKuYLZvFzNKJEsZrBNCEhbGonlKpRXNlyWHozhNU/jcRQuxdlFd1jo14iSKEgRJ0iJbRpJVV1l8itWuRMqM+iBR0B+MsmDuJxnnE3i9dwMAwMoUT+ryoc3bAgB4rjN3b3U17SonyWfcHSbp7CZ3PUk1yiJ2Hgyh0mPDhSe1YutQB3YEdwEwV3aOBaPTu5QnqlYIRhPOc3m++x9+di3OXTNz3O85WThtWSMg02gYPAefaf8UOJozpYkAaCRLRVfAYP9RRLpwRc0SfGzeJbh87sVoMPRWnO6DtdYSLBJBcu8eONoXaHYGo4KmIUsS7Eoky6U0U7bOaNE2cSlWN2KIXPORd9+Gg3OYikhG6+U5FsREAuGXXwRlscDa1AyuQo9Sqe8NALFN7yG2mURkE2V6JE1NHQNAV7QHG/pJq7Bck6kSjj6USFYefPOl7+C2l3845nbPr9AHKJVkOYWMy5qLZGnC98LIUpyPYyA+aIhkTe0P9N5Ht6BL6Rsi9fVAjJv1V5Q1jjKX+bNQjD6QVqcWQRYZUDx5+GiRLCFhav+QUjVZbHGpNlZpRSRK5khWuduK89a04MsfWTKugcinPCwHw3oESTCQLEjke5BAzvv32/TWnPmc3ceDUxqJVitftZRaQCDFPcr5kGvf5G4EQzFICzxiSQFzmoiebH3f29q+xfit0RSFJbNIF4BDEb+HRvKbJa5eMLmtoiYaLjsHigJ27xXwwMP9Zs2eAtlAsio9VpP9RKGRLIBo806oW4419cebIqXTvbqQypBF2FoKI8sUTQOSpE0EyoYSoF0uzfgZANzLlsN7+hnaa9ZLUuZG815BFsdt5yAMD0FOp+FeuQqMkwjqm2++FdWXf0zTq6pQvb9iXv23n5Z0gvdK9+va/6vqdIJWwtGL6f3LPIz42JPD+OzfBsf8YW6erUdH1AdJ+RlnwtbaBtd1nyIrcjxE1UqUQtOFf+74J77zxp14d4C0Z5hKktUdGMHbHQFEWPKACfz1z9jzxc+Ztilz2BBWxJytDr++QmLxjZU3oCq5EHLKAdBK5R1Lg7LEEU1HTRGw9CiaLACIvPEaUt3dWcsZg3YqnhJgVfanKAoXnNiK+S0VWfsUgirlYTkY1tM7vGFSLItqP0ly3h1B3a19Ir8jG6ukU0VzdFCSJYykY4ZIllPT/9gYG6rsFWBoGmlFFDy7iQxOquM0UHwUZMlspdXSIdg4/OE/O3Mu//bVy/GR00ZPIU03UBSlzaPCsTQCicHsjQzC+HCMx96eiNasXBxnRNAodqdzecpMJ2ToEy31DXk2zNyPRLLcnBsWXkJZVICtqTnrnvWsWq3vonTGmO1tBaBLK1LjjGapFZBGYmdraYH3fafnTXdGDelC1d8rnIpgff+7qLCV4+en3o4LZp09rvMp4chCiWTlgXeEkKs0n0I4FcXP3v01upXmpJyPhKFfXWL2F1I1WWxZGZq/8S1wLYowNWckq7h0YccwSf8820n6dLNTqMn69wYi3v3AWUtMy4WwnhI5f20rgskQHKwdM1wt2nJKptHgqoMs05AFFjLNQ5IlcCwNbuYWCLKAUw1Gi2lFk2XNocnih4fRd/+vceCWb2atY5T0YCTGIxJLo65yYnzEvIrPVtjQmJqSDN+ZxECWKS2SZfSqykVekmkBT76+H8n06MaimaApGhzNIp1Bsh7Y8kf8z6vfQUdwNyiZAWQaUpxEHJs9jURcS7FIKy12VLKZz528EKip3mIMSWVZNqUX1c9fbTAZtbA0Wmo9o7aYma5QCRMAuEILzCtTTlhSlVr0Vo0ArpxL/KGKiWQZYRS7T/fqQrXyDgDY8nKth9+YoGlAlrCydikqQ+SesTY2ZW1ma5mJ6ss/Rl4oljkXzz4PH537YSxWeo4aI0qFIPD3h7Hv61+BGCG/FVMfWQOqLvpQ1rI+h/77VseNh7b9FWkxjdObT572kccSJg6lbzoHjNECPp3E33c9hp3B3fjD9r8BAII28lB8e755IM8MidNKCiu3JisNUJSmVRgLmU7gUxnJ6h+Og6KApSv8ps944Hu3av+XOWwYToVQYSuHg9ND5ZRMroEkyWQ2T5EZpZVjQLvCqLRUYZVBwMtrkaxskjVWuTfLUOgKEM1G/QSRLKuFgc3CIBzTH9CMqBMDjuEAmYIMKYsA5cKjr+zDP17ai98/0zHmtpmw0BYTiQOAnpFesDSLRlc93AmSguEPzsFC9zJc5r8IACFooiyipsKBaq8dkixp0ZYvLPlU0eehmmf2BGIYCCXGTBu+8l4PPnHHC/jkHS+gW/l+ZBCNnDEa9rWPHZfnCNMf37xiGd6/ggz+gZ0NSO0iE5JWx1wkth6PlhovfvL5NaZqV68i4M8sAigUxnThVPQxHS+i77yN0HN6A+3WH/0UXHl5QfsS4buMSnsFrhXJc8KaL9XIkGeirEwomtz1WF2/QmuwXWwkK/jMU+ADAcS2kWbk+UhWxdnnoO2nPzct6xNDin0Ki55YHxJCEjtDezDD3YSTGg6feW4JU48SycqBcFyP0AjpJIJJMrjbWBtpk5EIQ8oRnc8kWdQoJEtKp0FxXMGpGlE2Rz6msrpwMJxEhdsKjmNhqdVF52IohFW1RFeQFtNIi2mU27xwWnSSpVbiSbIMWUmZJIUkbBwN0CIstM10DVJqdWEO8bMQ0r8XKZWt6TFGQOqrJs4Rv8xpyUuyHBYLINGQIKEvrledlltz+9+oAvrtB4pvXmtlrVpaUEVMiKPKVoGvr/wSPCEyCMkxL1aVn4Zqh5LW4wFQMha2kihWMBkCLwlYUbNU68VYDFrry2DhaDz7dhe+dt/r+NsLe/DWjgHc9deNWYaiAPC7p3do/29Qeg2KogyGpnHNB+dhmd+HX954ElpqPUWfy3SBzcJixVzVuZyCFKxFYv1ZWMicAQgWeJwWOG2c6b72ldnhsnPY2xOGLMtYv70f2/YXbjVgjF5V2gojLYcD0fVvaP/nivqMCprWqrNTXUSP6DpuWc5N1ZY1cob5s03RRsb5bNudQqC5y7vcebdh3G5Te6ChZBA1jmrUOmvQF+vH7tBeSLKEuRWzp32RQgkTixLJyoGRoD5Y8umk1pi3zOLGwTt+gPpBHnIhJEsxo6TyCN+LsW8QMrRhUxXJEkQJoWgKlYoA3FJn9gOqdZKBJaD40FTYvPB59BmfpLDRi05q1QTWCSEJ1iKDooBUksbX7nsd/UHyAFQ1WbkqzIzpyXR/X9Z6xkCyjOmbQ0WZ04JoPI3+YBzrt/cDvE6yVs6tVSJZIrpHyDld0HY2vr3qyzmPpXp9RWLF60PcnAtRfkTzypJkCTE+rt0LxqiQaIguJVMSQElY2Eo8lsKKQWYugXYh4Fga7QaN23/fOohfProFW/cNY29PdrSxuUa/Hx5ftx+ReBqiJIOhKbS3VOBzFy6EzXLkV1rNqM0ehAcVqwa1vVOFwX7CaeewsLUSoZE0/vzsLtz32Fb8+C8bC34/o21DpX18msOpgKVWL2QoO/W0UbbMhhgOg+/vR7q/D1IiDtpuz+stmI9kVSgEdChZ2MSGHwzg4I/v0F7LKTKxyRfJUlFzxVVwzJsP+4cuhCRL8DkqUe+sBS8JWNdD2o3NKW8b9RglHH0okawcSIT02eRDm/6olWO7OCeSu0nZu0qyltcsgXUByflnpv7UdGEuA0k5zWsarkIgyoeHZA1HkpChe0xZ6nWSZW2eoaUsVNG7x+LWRNoAQIM8+Jpr3DhtCQnzJ4QkWI58noGhNAZCCfzzpb0AiBO4haNzzvaMkazMXmWArhUCxmfXkA8elxWyTHrl3ffYVryzVW8FcvKiJkBiINBxvBfYAoDYLViY3N9tPKVHJIutznNbnBAkAUnFkPaZXS8CAA6OEKPERNroOq/fc3ySVL9VVJH3VluMuA6hOe2Kebn7zf3oLxvx7QfWmzRnmc2b93SFIUqSydH9aADL0PjwKeZBVK1KVds7tbfqZqJ2C6MVETz7dvE99oy6HqNJ6XSDrNznNR//BBj7+FogRde/CTEe10TtuSAlyEQt/PJLpuVqQ25j26l8iLz5OvZ97StI7NietY4pG92dnWIYNN70VURXzAUA+OyVaHCRyP/mwe1gKMZkIFvCsYESycoBMaa3fVjySic8igje2J9OHcI+3n45mq//Mmb/6gE9PahAfQhSOSQXEp/Weh0WdE4ZkaypcgpWBwmNZNXos1KZ50ErVUMxnlg62FibyRKgtkIfyO2Kb1RCSIBmlc8jmqMwaUHKa98gGiJZQ489ivTAgGm96pVV6bFNaGRE9drSUnyy/j1zNAeprw0yLWiNgfM1747E0nh1k04Oe4eKS1+4lDL2qBKJGorrM/PwSAr9BkPPgwMjSCiEzpIkTtM7w7tM+6s99MaDJbOqYGFptDV44PPaTAahXYER02fLrEIMhBJaJOtowwdWzcD1H1qkVUhu3E0GdoeV3I/GCKDVwmDBzOwIVKH+Yw7FO8rJOjC3fBpXZCptxSx1BVYU5oIsQ0okQNvzT57YcnItU/v3mZY3expBgcK24dwVrSpSBw+i7ze/yrmOslhM1YWjYUDRO/rsVah36c/L1rIZeSdfJRy9KJGsHBANNfoz+nic9yIZ3INDPdpyTgQWVykRLIrSQtVGjKbJktPpoppDCxmRLGYcLVvGA51kkQc649YHZpnntUiWaglgZ2wm36tQWicCqjYiKSQ1kiVrJEtA329/A9/Qgbz2DcZIFt/fh777fwUpmYAYi5nOdSJThQBMYuVMsDQLKmQ2VWTy9Cz85aNbTK93HgxlvR4tjaiSokhGJOoj/ouwZR+JvjYqn/3J1w/gQUULxcXJg37bEBHbR9PkermLcHrPhM3C4iefX4OvXrYUt3/6BNzy8RWm9cbPwQsSbBYG376a6PcOBkYgy+MXfE93LJ5VpUWoVKiFHC11bjRXuzC7sQxuhwV2K4vFbeYoVKG6LDtrwzdX3oivr/ySRrimI2SFZFGHUDU69PijkOLxLEmGEa6lpHCCrTBfT4/FjVnemdgb3q9JP3Ihvn1b1jLn4iVwLV+BGbd8t2At1WCcmFhXO6q0SBYAnKr0JS3h2EKJZOWAmCGqLlMiWVWvbDYtv7r9slGPQylEiE3x6P7ZTzD4z79rHehlni/K7T0zkpVvIJ9oqP5QaiSLceviZEngtXYXByIk3WFnbSi3eVHvJAO7sQ2MSgoi/IjW71CNZHkDnYi8tg4f2PVU3kiWEAqBslhQ/4UvAQD4oSHsuelL2HM98ew6K/oe5kX3YU7TxDZdNbrGqwRQlshfC8OBpRjIhkqIfJ5FXQN6hJSmKFNUa/uBIG7/4zu4/4nsB70KtxIhe2b/cwCAN7veBU3RWOxr19rSzDZ89m37h8ELEjq7BEhxF3aF9iAt8ojyKkkbP8kCAIeNA8cyoCgKbrt58PvZ3zdpn5cXiWWHz0uIwLrNRLu2r3f8NhLTHdVeO+bN0MXoqsaQpijces1KfP1junj7+PYa077rt5sjtKOh3lWLcts0bzKsaKQyI/3jOtRIdNT1jgWLIAwPad5WQjiEyOuvYYkyIX6zVzfh3RjYgle7dVF+qof473nWnAjPiUTEXnn+hai/7nOmCP5YCGiRrEpTtHjaf08lTApKJCsDUioFy4ZNpmWsBJzY70LtoLl8fqzQr/pQ8fRHEdu8CcNPPYF93/wfBJ/7L2RBKE74LmemC6eGZA1HCOGs0EiWOZLVXumHheY0MqVGqy6Zcz4AoNKmp0PUCqjhRFAzJVUjWSr5BPIbkQrhENgyL1yLl8DW2goxHIKsEGJZkrCk/z2c3/8KzlpZQLuOIlBj8HJqrnZj9YJafLDsGnxtxfWwszZS1Sjp6Uk6DwE2Nqhe2FqBA/1RLcX37FvEi2xXd/6Z9kJloOiPB9Az0oe9wU7Mr5gDj8Wtab28Lj1tF0sKWrpKDPvASwJ2hfaiR/HtKbeNT/ieC7lm+b94hExKeEEEx9Jw2jicdlzjhL3ndIfNot8HuSxJVHAZEZ6BYCLPlkcmtN6t43hm1V57nem1Sp7ywaZ4EyY7Sa/BocceRd8Dv8bsl3bDxTnx1P5nMZgYgiiJ+NOOv+MvHY9gRInspnu6AIZBzRVXoeajV2LmnT+Brbl4DVUgMQQn64Ajw1bDMsX9ZkuYHiiRrAz0/+NhWPZmO4of99xeVAeLM5DMNAh0LFgIMRzWWi/kq5LJBVEyv3e+gXyiEYmTtE+Z0qxXbSsBEJJlY21Y7FuoLVNbycwub8PH2y/H9Uuv1daphGswOYwtYdLjS41khUJ6m55cRqSyJEGMRDRdRGY5teqNA5A+dxOJOU1eLPMTnzKP04JPnjMfH1wxB01uojFZPKtKc34nJ5P7/VV/KQBoqSMRwTv//C6GI0m8u4uQoTmN+We7PkclGIrBcDKIe9/7HQDgeKU1h6q/asiwrrhXSVFKYZJC2Ty4DXvC+zHD0wRXHu3YREHVXKUFSSMSl58xGycokZsj0XS0GBg1Z/WjFGIYCaqFozEUPrpIFsTxpwvdy1YAhusj57BuMcLWSgoP1B6CqW4SYU9seAtnzDgFgiRgf+Qg9oT3I8bHIUPGtuEOyLKMdE8PLDW1oFgWFMuaehSOhu3DO/Hv/c8DIBW/g4lhVDn0lOWnF16FVbXLs7wOSzg2cHQ/5YqElEwi/OpLY29YIBiaQdShX+LMPleZ+oKekT7sDR/IeazDFcmKJQSwDAWrMiunGAatd90Na/MMyGqrFq9uDmicrS2vWWIqLXdyDlgZCwKJIXSEzWacnMEHzG7NFq2LkQggy1qFjzFtCQDxrVu1/1UNyESBoihcd347LjttNi4+uTVr/WWnzza1TZElGpIka30YVXhdhKj6vDZN5xWMpjQiBADiGOeuVpkOp4JwcnYsrJwHAIgnyfWbN6McX/vocfjsBWbXcWnEC5qi8Ur365BkCe0VBTpuFwGPYk+h6sJmN5JImSBIWrqMoih84oPzce7qFnzvkysn/BymE46b4wPLUPj0ee2oLs9PslRbj9mNZWipcWM4mjqkvpDTDVoh0ThczimGMWla6679zKjbO+cvAOP2IPL6a5D4NKR4XHlrWptU8CKvVQIDwJbB7ZBTSUjJJLjK4qs0f7Hxfjy+9xkkhASCyRBEWUS1XdfkLfK144r5l5Rc3o9RlL51A0Kvvwo6LeDdhR4k5rXk3e6RU7341/vG/jFSFIXHTvEiWOtG5fkXgi0zp2cySdb31/8Ed719T9ZxSEsS80N3qjRZkiSb/KcAgC3zgnY4AEmCLIqmSsfRqh4pikJb2Uz0xXQfMjXqwxkidQ5b9jGEEBHQs15yDVWCp6LnFz/T/h9+8l9jfayiwdA0zljRlLNdj5VjAMn4fVD4ycMbcdMv1mkRJkBvg/LFixfB49BTxQf6da1Wuoh+gO+fdTJ2Hozi4ed3o2cwBgqkYm1Okxf+5oyImMSiyaVXd9UbBLkThRsvXYIZtW587P2EwKlVhbyBZAEk0njhSa2oGYV4HA1Y1V6LX954Mo6fXzPqdrMayvDVy5biK5ctRZXXDlkmFZhHMsR4DD33/gLJ/fsw8vZbAA5N+A4Qyxj3yuNH3YZiWXjWrIUUiyG26T3wg6RJtJROafKOlJTGe4GtRD9q9WL78E6ICXK9adv4m7oLkmioLJy+lholTC1KJMuAwF/+BABwL18JzM9dEt1VzaGzzoJ9tWNbBNCgMORlsf7iRag893yTngkAKDZ3ujBT5J7pkQVMHckSJRlMDr2NmuqU+TRYQZ9pjtVT8ZzW9+dczho+Y65IlqqxUM1QLXX5SUK8Y0fedZMFKaXrtg72xbBtfxDxlICv3vsaeMXFXi3NZxkaZS6dZBmjFolkYSnpNssSfGThefjlI1vwzPpODIaT8LgsGpFzO7L1fstr9d6Tqhv8RKK5xo1brl6BmgpCnnhRBi+ISAtSzhTwsYBCUqIURWHujHKwDI3mGvKMONA/uvZouiPy+msYefstdN72nUM+lmPBoqK2t7fNAgCMvPOO1iNWTqdhUTz7/rbzMQRTIfjLZ2OWdybiQgKDIaJTpIokWUYPxK6RHgSUykLfJPy+SjgyUSJZCsR4DJQy2M2vWwiGzR6kti2vwz9OIxECGWOXn6taC0nZlnGaq7mM5qVGYhUXzLNYQcoeeKfKwkGS5ZwaJ1bpPdZzzy/g/s4vUBYl58iNcV4zPE24cNYH9eMnXFi7sM4cycpFsnaTBtlq1/vyM85Ew/U3ouLsc7K25fv7s5ZNNs70L9f+D4R0EX8sKaBTiVSpBqE0TWmptUwMhpM5zWtVCP1E1G8Vy/D7J7dpkbJPn9eOL31osWlbY/NlAHhf04m4btHV+NDs87Tqz8mA6lcmCBL29RKyMJFtjo5mtCiu8ft7j2ySlUs7xZSNt9BC+T0UaKFAOwjJN7bzAYBKxjzJdXJ2zPCQfpM9w51kXxvp7bl5cBvi/NjRRGP19C823m+qLCyhBKBEsjQkkrrw2mZ3Q8phIzC3Zn7BP3QAoJRSfrW6JtMRnuL015G0/lBVHeZV9MayScNURrJykSxLPUk9xbcTLVTDAJkxFmKSutQglP/Zp85BmcuiRbJ4islJshJ7doO227VIFm21wrlwEaou+hBm/vBHpm2F4DDEeMy0TJZljLz7tqmKcSJx/oI1aOCXI7l1VVbKT/XvUuVWNEWhwmNDa312r74ULyISz91oWpZl8AfmIrVjOba948Q/XtitrTt+fk1WW5dWRVzf4HPiB9euAgAsrJqPU5vWTmr/NDV6s3H3IG7/4zsAoEVoShgdzTUuUBSwv++Hm3EDAAAgAElEQVTIJlmxLbrdjaWxCXPuf7CoDhcmyMWRLMbhNO1nbSJEysd48JlFH9e2Y2kWDYpZaDBMbDOiVBqP7Xka9216EI/teQr8GE3fQymzDcnBKCmaKkWySlBxTJOsA9s3ID5CCA2fMlgI2Oxocmano+rr2nBa80lZy/OBoihwNIeukV7sDhEX4vIzz9LXG9KFRpKlhpxV7AzuAQDMMgjMp0r4LklSTmdua4O5FF+xjSqIZBkd0V12DgxNacJ3nmJhN2iy+OFh7PrsteD7+2BrbcvptcP5fGAy3JjTPT2Ib9+mpQ7j27ai556fo+ee/x3z/FQk9uzO0n7lA0MzqJcWQY55s5okdwVIJEtNF9I0BZahcfOVy3HhiTOzjtUTGMlaBgBvdwQA0JAiVUikxtZuXXrabCz3+/CJD85DbcXU6Z8yLQncDi6ns3kJ2bBZWNRXOrG/L4I0ny0TOBIgCwISe/QJgPekkw/peFwlISwWX2HVeWxlRcZrsr+USpkc2FmKhU8RqIciJAL1YmADnut8GQDwas+bOTWyKoLJEN7uf8+0bFdoL+ysHU726NYbllA4jlmSdXDXRqTuugfv3X4zAEBI6yTLanfBk0MHwPmq0VbWUtT7XDLnAqTEFB7e+SgAwPfhj2jrWI8eyTCSrH0ZFYZqQ1/VMgCYWuE7nWMGaexhCACzyttwQdvZBVXQWDP8xRiaglUkVhE8bY5kRd94DXKarLPNaMl/zHpzy45UTze67roTXT+6HQCQ3EuIai5X51yId+zAwR/eht7f3FfQ9gBgt5LvZNsBcyPaDsXZXTKkC1U0VesRnkYfSSd3DuQmWb1DJDr34VPaCmpJU+a04LMXLkRLbXbEbDJB05QWdGBoCnd/Ya3JI6yE0bGwrRJpXsK2/YU1NJ5uSPf2AKKIspNOwcw7flx0U+hM+C75CCrOORfVV1xd0PaMw6n3OKQocIoDvJSIm5qi1z2/CfHf/h84ikFYiWSlOMokBVH7gubCL9/7LZ7e/2zW8ip7xaRGiks4snDMkqxIP/FPqewjA5rAE5K1u9ECi8UOxuEE5TLrSDhfNRb7FuDSORficv/FBb3P6voVmONtQ/dIL8IpcwrApgg0ASBsCDu/0PUqHtvztPZa9ciqc+hVSlMqfM8xoDOeMtAGz6y1TatxxoxTCjomRVGws3atzLl3KIYZCeICHmWdcFhZCNEIhHAI0Q3rtf1UHVguZJK+dJfecFeIRCBEyPUdrcGsEUKQtDZRK6MKQb1Sebi7ixiKfurc+ZjTWIY9XWGERlJ6JMtwORe0VuD8tTOxdmEdPqQ0F+7sN5MsUZLw9xf3aG145rdU4OYrl+PS0+dgQWsFrju/veBznCqo1YQuO1cacIrEcXNIxOadnYHDfCbjQ6qLGOtam5rAVVYd8vdP22youuBiMI7Co0NcFXm20HYHuCpyPfmhQdAUDTfngiUtofztXYi98zZO3SrgxFeIJCPiKvy52hPr0/5fXqMXlaimyyWUABzDJIvOSLe9vlEhNZXl4JSUV+MXbzRto1YHntR4AtY0jF5KbMTcCiLW3jpEOrt7Vq8BQEqSVRgjWQDwnwMvaIJ3QRHF1xlC3VMnfM9t7klRFCy1hpRqkS0z7lj7bdx8/E0AgJlyGG5RF5lat27Avq99BXtv+hJSBzv1t3DkF0/bZhKCopKoxO5d2rruu++CGCHERxXfpvv60PfgA5DSuXsFUoweTev+358idfDgmJ+pPqNnIsvQWD63GjJIqi9XJItlaJy/diau+eA8LJhZASvH4OCA+V7YsGMAT71xAFuVyIbHaSFWCR+YhxsvWYKV80a3CDgcqFMag1stx2ZV4aGgtd6DMpcFG3cPQjwC/bJCL70IAOCKaEUz0VBThKAAzkf+5wcIaV1SvRAtPWnQyu9x3kadzIYVkqU+m7gC5A8AcNGsc7X/K0okqwQDjlmSlU7owmg+ncSCZwgBSvj01Iq9tQ11131Wez3eGdmCqnmgQOHPHf/EwzsfQ9VVH8fsXz1gcnwPp7OFrjGlukVQ9ErlhlA3M0XGdlKeSBYAE8kqti8ZQzMaUVxq0yM3jckA5Mf+krs6aZSZrHvFSsy46go0f+NbYMsrkOrUU66pzgNaRIpVTEw7b78NkVdfQeiF50zHUSv7jOQrtuk99P763jE/U32GhxZLU1jmrwYF4MV3u9E9GAPH0rBbcj+4aZpCY7UTvUNxzWMKAKIZQnh3nsrE6QTViPRoaxEzFaApCktn+zCS4LGrKzT2DtMI4sgIksoEhytQQzUZUHVcciqlTWbVIp2LZp2DtcPZlY7r2x2IOGl8fvEnUeesQWtZCwRJzFntmxL158O1C6+C2+JEs7sRFCgsrJo/GR+phCMUxyzJEgwkKxXXB/kZJ51l2i6zfct4UOeswWcWX4MqWwVe6lqH61/6Btb1bUDCYNUQTWWTLBlkoFXtHYyi8sNdXQgAltriZqr5rAnoHBYVFWefQ9pbWCyY8d0foPqKq+BYsDDH3gQUTaPxogtgqasHbbXm3U6FNEK+cyNxliUJXT+6Hb2/uQ9yylyFKETy9xRUYbeyaG/RZ7EMQ6PcbcWKedXoHoxhIJhAXYVj1LY/zdVuiJKMnkH9/hw0WEK47NwR0Y6msfrQmk8f66hWmmlHRnJHWqcrxChJy3NVPlh81YftPNT2X7IggKusgm1mK+I7tkOMRsFKMjz7BsDV1GhV0oEaB15f7MKCqnmYVzkHAFBh80KGjP54dsPunUEi7H//jFOx2NcOmqLxPyu+iLtP+T7mlLdN0acs4UjA9H9aTxLERFz7PxggZbeBNh+W1y8zbWefNRueE9ag4Xpz6rBYtFf6cfFsPaT8545/4vtv/lR7HU5Hs4iT2mJFjWSxNIMbjvsMrpr/kSnRuUiSjFRazGskaUwHyNLolVCJXbuw61MfR2zrlqx1spi9r6WuHs0334KW234Ia309vCefWvhnNlhlZNpmSDyP2Ba9AbgxBSkEh5HY2YHom28gttncJFxtzzEWbrxU12aoflHXnteOGy9djNULanH2CaM3nG2qUcXvhHRLsoz+oP7eTvv0j2IBwIq51Wit9+Cas+cd7lM5IqGmWY0dA44EqM7prmXLxthyckFlTLRcy1cAkoTIm29ACJLG8va2WWBc5PfmUBq8G5s6+8uJzGP7sC492DbUgfs2/Q5P7yMR8PbKuab3KaS6uoRjCwXdEX6/vxbAbQAWd3R0rMixngbwAwAjAGYAeKCjo+MNZd3pAC4CMABA7ujoOHQL4AmAlNCjSJH+g+AAsyJZAcWyqP3EpybkPd0W8+ze6IcVTkXgsbhx+oyT8bedjwHQI1mqJoulWMXGIbvsfzIQjqUhyTLK3bkjQ8ZIVi6i1Pvre2FpaETlB8/F8NNPAAAG//l3ONvNffVy7UtZrbA2No3rvClGJ4WWhkakDuzXXqf270P33T/RXg/84fdwr1gJ2moFH9C1GbEtm0FZbXpEaxSDUNN7U2a9FUDSPwtmVmLBzLENCpuUCNA/X96Lec3luPV3GxA3DLRW7siYF9mtLG6+cvnYG5aQE7YjlGSpz1XafngtDBx+Qu49JxD9q+f4VRj+12MYfOQfWrcIirPAMb8diZ0dqJl/HM5qqcNpTSdqx5hbQQqT1vW8CStjxer6FXhk95MmwftMT/NUfaQSjlAU+sReC+AxAPlCCZcA8HR0dNwG4H8APOT3+xm/3+8AcB+AGzo6Om4FsMjv9x9aPe8EQTJofhKDitnnJKdhXFzuFIosy4imo/BY3Ti5YTVW1xEeK8oqyRKU02MgShL29Ua0SrXJxC2/JZV9+UgWZ0gH8AN6SF2MxdD7m/sQXf8mhh75B1moarZyNUBWSJZkuL1oyziNC2GOXmX6eWVCFgSEXyFNwdU+Z2SFDN+lH8mzV2FgmOKjjaqNQ3gkjSffOGAiWABgOUbb0xxrsCnfczJ9eEiWlEoh9MJzkPjRzTgBIPTi89j5yavBBwIGklVYFe9kwdbSgpYf3InqK68GALDeclScfQ7kVBJ99/8KAHlOVJx9Dmo/eS1qL70c57aeaYpkVdjKUe2oQm+sH3/c8TccjHYjxutp/AWVc6esAKmEIxcFsYqOjo6/AxjNgviDAF5Xth0GkATQDuAEAAc6OjpURrNO2fawQ+Z1rUN6iBjRYZJ/MG5L7uq4uJCAIIvwWNygKErzmuqLEeIiyiJoigZN0Xjk5X343u/fwqubeif1XAFgJEEesGXO3ITHKNyPvLZO01wNP/0kom+aW1pQymeSM0iWLAia4WeC0ckcdQgkK2kwQrQ0NIyyJYE6MBgjWZTVCk9GM9pCjUlVsEUWAwAwpWYP5vDLOlZ7AB5r0CJZBfaynCikursQffst9P3ufgz88f8Qeva/Y+4z8IeHAACR19dBUmQYzGGOZAGApbra9IxSK4vFKBnKKJYFRdPwrFqdd1LXVqZnDTqCuxFJj6CtrAVXzrsUl/ovnMSzL+FowUQlkKthJmERZZkvz/JRUV7uAJujrc1EwOcjQnZG0FNUVFgp7+cYbf1UwedzIxUmg2lNWSV8Pjd2vklIwq83/x4PX3ovKJqUEvt8bry3h7jB7+mN4uLTxz7X8XweSZJNIvXqKlfe41T+/S/Y9bOfY/CVdbAN98Iz148IzAODz+fGkI3DCEiwUD0WH41i4xe/ivQw8aSKM1Y4lV5glTXlcI3j3H0+N3YaXle3z8Hg38j/looK7b2MYEbC8PncGI7q6Vvf2jWoaarGbsN2ZZwEa1Xh5+Ty2MZ1/VcvqsNrm3qxt4eIiE9b0YTnNhALCV+Fw3TMqb5fDzeOlc8bTJDf0J/+04HmWg/WLK4fY4+JwZs33ql5ygGA3HtwzGu+z+sFHwqBjoYw/MqLAICqWc0oG+d3NVnfMeXzwtigzG7nxnyvC9gz8HrvBgDAI7ufBABctuQ8LKqdOK3hsXJPqzjWPu9EkawBAMYr51GWyXmWj4pgsDCRcbHw+dwIBAjnExN6upAaJg8VUYa2frLA0Rx4SQ/BBwJR7BsmUSmLaEUgEEUwETatT6RToCkGgUBUIz+JRHrMczV+3mJw+x/exs4u/RxEXhj1OPTM2cAr6xDYuQ+pynokEuYUQyAQhdppRkjx2rF67rvHRHp89T5gP3nfUExAoshzz/V5U94a2Of44VqyFKGXX8xx8jQi+zsRCEQRH9Idtq0rVyMQiMK59DjE3iX99wb2dsEmFx5hGxwcQWAcdguNGVYQHz1tNmLxNN7Y2o8zjmvQPuN4v98jFcfS500n9Ej77Q9twG+/9r5Jf09Zlk0ECwDigaGc1zz61gb03ncPyk4+FbS3HAiFEHjhRW19qqphXN/VZH7HI0mz9jO4fSdcY7yXC15cNf8j+P22vwAAjq9dhjqmccLO8Vi6p4Gj+/PmI4/jFiH5/X6n3+9XjVCeBEkNwu/3VwCwAdgKkkKc4ff71TzQGmXbww+D1sAaUcTN40jvFIs7T7zV9DolpvHzjb8BAHisxMNJMFTqiZKInlifZvegavOlSZJkybJsIlgA4G/y5tmaQA3Jy7wSwcpxHSmLuo1+3eMZlYZ2m05IaOv404WV512gH8fpRNNXv47y958FSkkH22eTEm3X8hXgfD6k+/sgpVLa+cy49XuwK2789Z/+LMo/QDLcQjjbxkGWpKwU6BcuWogls6rQ1pDtxVMIfN7sFjRXnunHXZ9bg7rK/IasJRw98HnNmqbB0OT7jYnhbE8uIZS7tU/vfaSnX/ilF8CWme9zS1190b55UwGuypxEcS09rqD9XIZeqzPLSkL3EopDodWFJwO4AkCd3++/GcBdAK4GsBDAdQAeBrDU7/ffAqAZwJUdHR0igLjf7/8MgP/1+/0BAJs6Ojqey/UeU4lYIgkhRiJZPEvBGVfIATP5ehcLY45s9Izo2iqPhTBhY++sdT1vmrZX+whKk8SyMoXWP/viWrgdoxMetdG1JBACpZZFAwBoGsn9+7UKP5VkybIMKWn2onLMnYfEDmIKS1vG9rrKB/vcecDjpFekyfZB+Z+yWDDr3t+AYln0/OJniL23EZ3f14tejVWNFMvCqrTs4VXtngJZELD/5q/D1taGuk9dpy1fOseHpXPGb8RYU67rWdqVxso2CwtbHhPTEo4+ZHqpbT8QxIneyRWTpwytqFSIiWxylymGF0Jmctb09Zsn9sQmCNb6esz80U/But0QwiGw5YU1LTeSrFrH9OuuUML0RkFP7Y6OjpcAvJSx+B7DegmkqjDXvv8FMLZ6cgrx8o++ibYAqRKJOy0oCxPCNVWzr3KrV7NvUCsIAaDMmh1u3BfpNL2mlIfvZFQX3v/ENry2RS9PPuv45jEJFgBQnDlKJRvIE8Wy6LztVu21pBQcyKmUyRbB1toGxtAw+1CE78bG20bQNpt2nmr0zd42C7H3NiLdk78RrK1lJsAwGHrsETjmzdeaUQuRMPjBAPjBACrPOQ+WuonRzTT4nLjyTD9AAacsGVu4X8LRiZXzqrF+O1FXbD8QxImTrMtKdROSxbjdmjg8V+cFvq/PvJ/BIsW5aHFRPQanGpzS/1R1hC8EHsNzuck9Ndq4Eo4eTL+Y7hSAbiUmcwkLBd6lR0ymquz4qyu+oEWthpN6OL7Mkk0O+mPmJrFaJGsSSJaRYF144kxccuqsUbbWoVomiMqMVrXHoJ3OrIo8lYhJSfMMmbJYTA9nihu/6SbjzG2VoTWKNVg12P1zc25rhKWuHjVXXg0pHkfwv//WlosG/Upi797xnm4WKIrCKUsbSgTrGMcnPjgPt39uLTwODru7x+44cKhQm6rb5/i1ZTLPm+xuALORcybkydIxHEZ4rWW4pv2juGXVV2Bjs1P5JZQwGo5JknXmx67DsyechX82r4bk1kPBE9FCpxB4LG40u8kAejDarS1XzUo/v/iTAIB5FXMwmCDVhK1lLQB0udNEP8yMvfKcNhanHje6v5QRahub4H//jfArL0FSDDwZlzvbF0t5LWWkISiWMxkYHkpUkXG74bvkMjR+2Rxc5aqJJkMwiO1tM1oKOqZ7GfEuE4I6KTa22pHFI8s0soTpD45l0N5aCa/LqtmpTBYCf/sLIq+vAwDYWlpN68QRs5XIaN0PnIsWTfzJTQMsq1mMasfh68VYwpGLY5JkAYDonY+DaAMMqSXOnTvNNBngaBKp6YyS2eOKmqVaS4YZHkJwYnwMMSEOf/ksXL/0WgDGSNbEno+xdcuC1kq4imjfYmvVe3X1//53mtbKpM3KQKYei+a4CU0zlL//TDjmmsus1UiWERTLwjGvfczj0TYbKKvNJA4WjUL4Ij20SiihUNisLJJpcdJ0mAAQ/PczAADa4QDjNk82xRFzNVg+ktX41a/De+q08JouoYRpg2OWZKm9weDWK2OsrvFVg40HFoZojgLxQdAUjavm6+7iqhlppxLlml/p1wjYZAnfjQ2JxSKPTWUUDKjpBbVJayZkQcgiWVxt7aS34rDPImliewb5MrZTci3L3wqG9ZZBCOnEyuQnZPBdE8IhU3/EEvIjumE9Dtz2HQjRyNgbH6NwWMlvP5kW0dkfRVcg26T2UKESq5qrPp71u82MZIl5SJZjjn9KeqqWUMKRhGO2XEl1zmY85doym2d0q4KJBKeQpoSQBEsxpocTndEo2ug6rFYdFUuExoKRZB0qgVMrBKk8FYJSIqFVLVWcez5ojoP3jDOzUogTDUtNDVq+f3tWybkKW2sb6j/z+bz7s2VeJAYGIIsiKIYxabKM6cID370FYjiMGd/9viaSLyE3Bv70B4jRCPbe8EU0fOkmOBcsPNynNO1gs+otdm79HTHGnAzfLEttHdzLViC+s8O0PDOSJcaySV7dKL+bEko4lnHMRrIsiqM849ZTSA5PYSW9E/L+SiQrLfFgMjq3M5T+tVhoTtNvCaKE7QeIJiiZzm6qfCiYSJKlwm5IIxohxuMaoeIqK1Fx9jmgOW5KCg8sNbWgbeb3cR23DADgXp7V+9wEzlcNyDL6/+9ByLIM0ajJMqQL1TSiFItlHaMEgv6HHkT3z++GbaY+gei++67DeEbTF3YlkhWbhBY7YjyG4H+egRiNguLI+2S2xBGjZlKV7iWVuO4VK7VlDoNYvoQSStBx7EayLITIGEmW01M5Ze+varIAgM2IXNEGktVSNkNrQvrSRt1mYKIax4ZHUnhvzxA6DX3y7NaJ8QsrO/VUBB7+c9ZyKZHQqguNhEe1VbC2zMzaZzJRdtIpcMydrwnj86Hy/AuR6tyPyKuvoPz095vThTmE7xQ3fhuKox3hXO77JeSEXfFHGwonx9iyOIiJBPbc8EWtQTsY8j6qcbCKVJfZRibd1QXabkfttZ9B1SWXQQgOZ+m4SiihBIJjNpKlGjvSdp1Y2Q2aLFGSEE9OXkWP0ZSUztAxGFOHRl8WY4VRIjUxJOs/Gw7iwad3YCCYQLnbipMW1xVs3WCEI0eah+YsKDvplKzlUkKPZGVGr2bd+xs0f+NbRb//oYCiKFhqasbUk3AVFfCedgYAILGzw5wuFHJEFmUpe1kJo6Lvdw9ASqfH3vAYgjrpGTC4vssTYOEiBId1ggXdioXzVcOz9kRUX3E1ALNVicSnkR7oh7WxCRRFgSsvzxuxLqGEEo5hkmVXhO9pSSc7XQHyEOMFCZ+680V8/u5XJq2dhTGSFU5n93JaVr0YADDHqz/A1LQBMHHpQiNxa59Zgas/MA9lruLd1us/9wUT0WIV07/K8y/UnNZViPG4JnxXDUJV0Bw3LVtyqLDPJmmR+M6dZguHHNWFOYlXCaMisu4VBJ956nCfxrSC+rsPBPVn0Rtb+8Ef6v2VYa+ikiyKplF79SdQduJJZDODT1a6txeQJFgaCrd4KaGEYxnTdzSbZNiUB1ciLWDPygV4uWUG7vgTaQT84kbdu2qyTAAz2+tk4qPzPozrl16LBVV6JZxRKyVKMlJ8cQ/Zt3YM4K6/bjQ9nI38p/4Q+uLRnAW25hnaa/eq1QAAtqwMTV/9hmlbcWRE89LKJFnTHVx1NSirDenuLkixmJYmyZUuLHlnjQ+lSJYZarrQGMn6zRPbcOvvNhySfjKz56bqd6eComlQFgukVAqJ3buQ6u5G6uBBAIC1RLJKKKEgHLMkS31wJVMi+PaL8Rp7shYdMkbiExMsMFdhjGTlgpWxYE65OW3X2W+OeMWKNCj85aNbsHXfMP6fvfMObJtO+/hXsrwTZ++k2XU60kFL92ZDaYEy+lK449jHOgrHeA/u2Lw9rszjOKCUceUYpWxKKaOs7kFn0rhpk47sPWwnXtL7hyxZ8kicxEmc5vf5J7L003Jk6dEzvs+hco8Yp93hudGmxvet+bC0FY7wVgwA2vx8pN55N1L+eDsAwNnYICq/D7W8JYqioIyLFZN/mVg+3Cx4sqTSFJyzfwUkTyfil1whTpP8HjmCJ6vOy6te3WiV/ZZ7jJeR1Vl2zGeIIjISjro6nFrxFE488hDs7tY70v6eBAIhMMPXyHLnOXTYnOi08YaUkqFly/oToboQAJaf8cduxxeVN2F7cS0AINHdKLa3IUNpiFDqDUuN65tOlbQVDu3VezBi/ARosnklaUdDPTi7w2edoYK0sSwT6552ewelTaRJuNCDs6UZFc+vRN17a8T+lVKizzpH/F7pIXhN9CdiTlazrz5VU3vvk+EFT5YQ5o+9cKHPmIjxE8FaPVWygidLlUakSQiEYBi2RpaQ+N5hc4qVekKeljQRvb+09aQyDXnR3VfTbdzlqfBRKvl1exsqkK5nd7fTmZAXj7iovoXupJWCTHSMz3ImOgYUw8BeVyd6sobiA1Uq1qh0GwZCaNBR7+mL6C9Pa7hiKSqCtegQWjb9gI6SEp/lFMMgcdm1/NjiIrTt3I7qVa+S7xAeT5a/XPc2cx9Cq24jS50xAnn/fh0x55znMyRyylTZZ2tJMdQZGWHdBJpACCeGrZEVqeMf7i1mG35ySyMIeVp2iXfHu/IvVAj3S70yuJuVXeK1Urk9br0VJJVW0dkcLlAUcOeSwj6rNUtFPkUPj3S/NA1VegZsJ0+g8+Rxft4QNLIoRiK/Ec0L2ArGgKO+TlxGcrI8sJKmwvbqatkyZXIyQFFiTpBl317UvP4q2ndsh6W4aECPMxzRqAMr7fy8v6rXCfCCJ4uiadABwvaanFz5b5njELtwUa/2RyAMR4atkWXQq0AB2G3yeB60KgYtZhvWbz8hzmNDUCrtDcdxOLSPweSo2fjLlOVBreOUGFSCMeT0br7cC+wOF1RKRUjaYQgGBwAoY/1rjsUtXASwLJyNfOPrIWlkSUKhtPuNXjCybBUV4rKmr9fDZbHA0dSE+rUfoOy+5aj/+KOBPdgwQarm33niuDitzspG+r0PgKIo2fcqYJOMHa4IHnZ/NLfb8MkvZb3bsHD/6KKal6JpRE72iI5GTJ6CiImTerc/AmEYMmyNLEZBI1Ivv6lr1Qp8ueU4mtpsiHIvc7lCb2Q1tnVi054q/PqdHtHq4PolOl2sz3RPji2QeKndwULNhOYyUER5jCxBwsEb/fgJiJrvaQkSznINgZDlnrl1vji33pDtlCesa6+sQOVLz6PyhWfR/O03cDY3w7xn98AebJggbSrcvmMbAD4HKPPhR6B0Xyv+DG7r4eKBOcAwRtuFJwvg8zV7g9ST1RVCyNAwaw5Sb71tSP5mCYTBYlj/WqIj5EaWw8Vi88FqxEdpsOyckQCA/353BK1mm8zI6Su9cY75M6i6ChfWt3TIqg//+fFBcVrqs7I7eU9WKGAMBs8+GP8PBoqiEHPO+SHZ32AhTeqn1XweG+d0gnM6Ya+qlI3tPHYU9qpK6MdPgCY3D476Or+J36c7Lne4UJmcLM7zNqq8G40DQMfRUrjc7YmcZjPKH34QTV9/1Y9HGn4wChoKSRNztVKBW2BV0OYAACAASURBVBaNwbTRSQCA0Vm9bAcWhCcLADRZ2Ui9/U7ELby4d/shEIYxw9zIkuvCHKtsg8PJ4pwzM2Ths+Uvb8Hq9YdDtt+ehiCPVbai0t1bcJIxAeNz4wEAG3eexA53xSHAVw22We2w2V144NVtWP78z+IyoechwIce3/iqGD/vq4TN7hKbZfcVSqGAOitb7AUYCMYwtEv0FZEeY5JWqwGFgjewqqvBOZ1QSIxNgahZc8AYogCOEysrhxOCoZTx5wegcIeVVckpsjGq5BRETpsu83SCZWE5xL8gnProYzhqatDwybqBOegwQmgMPyEvHv9aPgdTRydh3kS+wq+3L0kcy3tfg/FMRUycBGV8QrfjCASCHGJk+WF0ZoyYGC8gNWb6itPZM6/YU2v2AAD0Gga3X1ooVjweONaI174oElts/HX1Dtz90mbUuku9qxstcDhZnxYcazaasPVQDd75xgRLpxMqZegug8yHH0HqbXd2OYZSDy0BUm+kicAUowSlUIBzucRQob5wvM86urGFgPtBKTzcTmfad++Eo4HPd+Q4DvaqKlAqFRRR0ch55jlkPPAXREyaLFuHUiiQcuMtMEyZJptvObAPrN2O2o3fAQDUEtHb4QKj4K8dBU2JBpfwt9eCpMJ6JPxHIPQbw7ZBNOAbLhRQKxVIjdfDmBEN06mWkO/X0cvQo+Bda7PKPSF1LR1IitGh1V3OvfOwp8KtrKoVBn3g87Q5XKKcxUBBURSYmNghKzqplBpZSiUohoHteDnMB/YB4L1WjoZ6dJjcUgU0zbcLEsJhIQw9hyO2qipUv/oKKJUK+a+8jg5TCRy1NYiYNJm/hikK2vyRAdeXSoEooqLRvmM72nds92z/5Am4rNZhKSNAS8KGQuVzb42sYHOyCARC7xnWvy6pJ+uR684Up4Vqu/F58bLxfe4V5sbWRxX5BWfIhQCPnJQbgt/tPiVOm061oLy6Df64ZHY2/nBBAS6fN/ANXnP+8Rwy//bYgO83FEjFSCmlUkzqNu/eBYBXyU6/5z6k/ekeAEDi0qvdg/mfm3c7k9ONDhMfWufc7XHatm4BAL86TP5QpabCMH0m0u6+B4YZM/2OafzisxAc6dBBcEZLc7OE6V5XQAeZk0UgEHrPsP51MQrP6SslFXZC+Ex6QwOA+pbeqytLOVFr7tP6KV7K7EcqWmQhQYckHGntdMJs9Z8DpFYqMHt8KrJTfHOICIGReuAopRKanBzZcopRgFIooC8ch9zn/4mo+Wfx84Xr7TQOFzrb2lD33zXiZ1tlBVxuxXBVampQ26AUCiTfcBP0Y8chfvGlSBCMVACGWbMBANZDBwOtfloj9WQJaQO91cvrSU4WgUDoHcP615UQzecGpSXowciMLLfyu5eR5d07rLeUVvQuBCkYUgqvm+KRUy0Bm0XbnWzgm3A/qdmf7kgfSpRSyTfAllbGKTzhV0VkpKeIghY8Wfz/o23bFhx/5GG4rL7tUoYqHUdLZZ9P/WNFn/pUUgyDmLPPFT/rR48FExc3bJtI0/3iyer/NmIEwnBlWBtZxhExuHNJIe5bOhFKiVdLyHXw9mQ1hMjIamrzeMRCIXZa39KJEq+QYcEIvoLL4XDJhEwFxubEYlZhis98Qs+gaBoUw8jyg/xJEfBj3fPdHoSa1atgr6xA45ef9/txDhSutlbZZ9Zs5sOGFBVQ1iMYhHUpjRq0UgVumMlgCL9g6T0pVInvFE3etgiE/mJYG1kAMDE/AQa9CgqF743G25MVyFvUU9osnvCdoweVhpZOj6Cot0D7S+sOAADSEyIwdXQSrj6bTyx2uFi43InWvz/fKI6/9lyjLFxK6Bkpt96GqLnzRbkGWuOpmAxkZAn/tNYtm2WemJbvNvbfgQ4gHMeh5cdNsnlMbCxYh4MvEOhDV4HMR59Exv9cBf3YcXwe3HCTwRALAX2NrN6HC0lOFoHQ3wzr6kIpEVolJuTFY1SWR6nc++b18c9l6LC5+pQoznEc2q2eB6zd0bVO1c7D/qUj8tKiUFrRCgVNyY5zdFYMlp6VD2unw719T7gwJU6PC6aOgJKhEd/HZtDDncjJU2TtRqQVcYGMLFcbX4DQvGE9DNOmi/OVCaeH/lBneRnslRXymRwHzuGQ9XvsDarkZCQUXon6+nZQKt6TxbHssMsnUkgMVWGa63NOFgkXEgj9xfC6Q3UBTVG46/JxOGdyhjjPn8r715K+hr3B5nDBLvFedeXJam634dXPPQ1yfyfxRN1xWSEunZODxbOyZeto3H3OhER+h9MlGlkKBYUr5ufhktk5IelVSPAgtNcBIM/PkuBo9rQ/OfHIw575TU1i78OhjMvMF3QoE5OQs/J5KBMS4GpvB2e3g1KFrkelOj0dYFk0fPyRKHJ6usO5XVlST5bQOLqsuq13lc/Ek0Ug9Dvk19UFoWylI+CtcdVVCNJ0yqPSPiozBvMmeKQbInUqXDwjy0cDS9DgYhQ0KIo34oSWPAy5mfYbmmyPsRvIk+VsbPC/sssFe3VVfxzWgCIkuEcvOAtMdAxUySngnE6+lVBHaPIZASD2okWgdXo0b9yAiudX+ojtno7YHfzvWqruHqFVYs74FFQ3WnGorAkVzz6Dhs8/DX6jEp0sp4vtUeoCgUAIDvLU7YJAyux9Mb7aLfKEXeHm6Q+p/lVTu83vGJ2keaxew2BcThwAXvBTySjc1YX8PrwT+QmhwzBjNiilEvoJEwOGsJho36bZ+gkTAQAnHvsbbN6hNvDh5dbNv8LZGnpR3FAjeOOEJHVVuscrzNn8X7+9QRkbi6yn/g+6sYWwHS9HxxFTyLYd7mQlywV8C3N4Lb+6+lZYDxejqQdFFNKcrBfXHcDd/9wsFvd02p398pJJIAw3iJHVBQ5JU+alZ+UjMZoPCXVlGHVHmzsfS2iTYQ/g5t9X2oCf9nm8G3VN/sv89RqPkfXSn2bDOMLzIFcxNBxOFk1t/AMuQhe6kA1BjjotDXkvv4q0O/4UcEyq17KM/30Y8ZddLn427/3NZ53OY0dR+/ZqnHjsb6E72H7CI9XAX2fxl1zmc86hgok0IO6iRQCAlh++65d9hBOCNl5eepRsflIMf09qrmkMeltNX3+FmjffkHmyisqb0GFz4v0fStFpd+K2537Bi+5iGgKB0HuIkdUFTkno7dwzMzA2h1f6/l6iqN5T2tyerLiowAYby3F46WP+BpfovokuO9d/GxKdxmM4eedZqZQKOJws2q12MAoqYK9GQmgIWFXoRhkXB8OsOeJnTWYW1KlpSL3rbgAA55SHkjmXCw2ffQKAT5pv2vB1WIfGWBsvTSIkuVMKBXRjxvDTqp5rZHWHJi8PqrR0mPfvA3uaSzo8uOwMPHXTVBh08u8xwf3i197Y7G81vzR8sg5tWzeDdRvFoGlEuVuMlVW1iS9lReVNgTZBIBCChBhZXRDtznfKTI4AAFwyOwc0ReFgefBvjd4IOVlCdV9Vo2/irlT3ZtLIBLzxwHwsOCPd7/Y06sAPdrVSAbvTBYeTlSnaEwYPmdSDO6ymiOBDQJyXV7N99050lBwWPzd8vBZtv/4S9L44pxMtP24asFCjvYr3vKoSE8V5tFKFzMeeQtZTfw/5/iiKgjY3D3C54KgNXQP3cCRSp0JKnN5nvlqlgEpJgzP3vIuEs4W/LiiaFvuetlrsaGj15M85nC7YQyRdQyAMR8iTtwvmn5GGK+bn4o5LCwHwiaZatQIdtt7fdIScrDgD/7B9//tS7C6pk42RSjJMzE8QxVH90VWelVLJhwvtTlYmtkoYPASxTibGE9YVjC3Lvr3oLC8T53ceOwpAXrlo3ucbUgxEw2efoO6//0HTNxv6dMzB4jK3AwCYeHnPT3VaGpQxvvlooUDp3lf9Rx8CAMwH9qF18y+nfX9IKQqagtre864Bzib+ZfHwKbmArFTY+OE3duD+V7f17QAJhGEMefJ2gZJR4IKpmYiShNm0agYdtt6X2ws5WVKdqh/2yBOeBU9WWrzeJwfDG+8WO1KEcCHxZIUP2rx8AEDUnHniPMHIstdU4+RTj4vzHU18uCZi0mRxHtuDBHLLgX38dqure328wdK2YzvMe3YDABQ6X49Lf8HE8iF8a9EhcCyL2nfeQu3bb6Lh048H7BgGG5qioHL0vHrTdopPe/jxiLyB/OETntBjfUsn2ix2VPvxuBMIhO4JSozUaDSeDeAyAHUAOJPJ9JjX8iwAjwEoAjAGwHMmk2m/e9lxAMfdQytNJtOyEBz3oKFTM6jtQ3uddne4ME5iZJk75Lk4gicrOVbeCNofXXmyVAwNu5NFi9mG+GhtwHGEgSNq3gKoMzKhycsT51EK+c+Q4ziA4+BsagKlUkGbb0Tb5l8BdG9ksQ4HLPv3Qj9ughi+Y2KiQ3wWHqpXvYbOsmNw1Hu8sd3lpoUS/bjx4jRrscDVyntlOsuODdgx9JTO8jJQKhXUaf5TAHpKprkSo6r2dzmG4zi0bPoemmxPM3PBk1VuoQHJv+xETbvP+juKa3HJ7Byf+QQCoWu6NbKMRqMOwKsAxphMJpvRaPzYaDSeZTKZfpAMewHAOyaT6VOj0VgI4F0Awt3vbZPJ9GioD3yw0KoZ2OwusCzn03YnGNqsdujUjEx6wbt/4fvf8012Syvlbnx/+GsHJJCRFIni8iYwChpnjIwPOI4wcFA0DW1+vmwerZEXJNgrTuHUs8+ANZvBxMZBnebRR+O6aYzcvHEDGj/7BBESNXqh6i/UuCwWtO8Y3FCSQqdH1LwFaP1pE+x1nryscBV3dba0iN7KvFdeBx2CgoBFxyVtmQIYuB2mEtS//1/fBUolOmn+GM6bkoEf91b6LcbZXlyLxbOyiYgxgdBDgokhTQdwwmQyCa/QWwBc5DUmH8BJ93QZgHFGo1F4qs8xGo33G43GJ4xG44w+H/Ego3UbR5323t3E2y12ROpVsvCdd/uebUU1ADyViF3RlSfr9svH46U/zcYr98zBFfPyAo4jDC5MVDSUCZ5k8dbNv4J1JzKzVgtUKaniMpe167CN4L0y794pzmvfuUNMcg4llv37xOnIKdMAAInLrg35frqDieJD6rYKT9Uv5wrPZG3LQY/HydncjM4Tx0NaMSrrPCDd76GDfuc3QQNQFKaNScJVC/KRnhDhd1xdcweO+/FwEQiErgkmXJgIQPrranPPk7IZwDQAewAIr9AGAA0AHjSZTDvdHrHfjEbjQpPJdLSrHcbE6MAw/RNySEiI7H5QF8S4w3xavQYJQYTzpLhYDuYOB9KTIjFpbCo0qoPotLvAdXFc3R2vtJ2Gv7HZI2J7dIxDnb7+fwcL24Xn4cQ7awAAlj27xPlsZyeS0uMh/GDY9nbEx+lB0TRcNhvaPvkAaZcuhsZd0deeEAOfRyHLwr79F6RcG9pIfd0+PgfrjFdfhjYlhU82p6h+9Xb4+/+60pPQCKBuzTviPAXYsLwWGkoOidPHH3oAAJAwdw5G3hNYT6y78zgimWbUar/jK0v9C7ZaFLxRNjonHgkJkZgzMR1lVcWyMdMLU7DtYDUOnWjBlHFp/jYTUsLx/9afkPM9vQnGyKoDIP1WDO55Uu4FcI/RaFwOoBlAI4AKADCZTDvdf61Go3EfgJkAujSympt7XikTDAkJkaiv79vbmN2d9P7nl37Bs7fP7NG6bVY7WA7QKhXoMHfi5bvn4KE3dqDT5gx4XN0drzTU6D02FOc7lBjK56ucNgcRB4ph3rsHDonXSZWahvr6duS9/G9U/ftfsBYdQu3xGigiI2H7+TvUfP0NGvfsQ/ZTKwAATr28UCLjL3/DqacfR2tFdUi/G2d7G1r27Yc6KxtmJgLmAfjeA/1/7VG+DbadNkdYXgvtZcd95tX//Atirr3e7/ieXtP1bTaf8a72dljKyvyO17psmDshFbPGJKG+vh1njozH2+vlY4zpUdh2sBrbD1bBmGbAyIz+y/Ebyr/h3kDO9/QhkPEYTLhwG4BMo9EoJI7MBLDeaDTGGo1Gg3teKoCVJpPpeff4b00mk91oNJ5lNBrPl2wrD0D4ZqQGQYKgsBygzY03ze02vPn1YWw5WC3KN0S69bdomgKjoHzaV/Sk/U1X8g6EoQOtVCL19jvFajkAiDn/QqTdfS+/XKOF0u2tEnSvWHd+lqO2xu82mbg4qJKT+bGdnSE9XvPu3QDLwjBlaki32xu0ObnIfuY5ZD25AjHnng8oFGGbk+XvuKIXnB3CHXBeHznUvvuOz3yBeEcrVJKogVbN4K7Lx8nGxEbyt/7qRiv+8f5e1Peh8IdAGG50a2SZTCYrgD8CeMloND4J4IA76f1BALe5h80A8LbRaLwfwB8A3OGeXwfgJqPR+Bej0fgygI9NJtPmUJ/EQHL2JL4iSNrOpitWfrAXmw9U451vTGKOlUHS3kZBU3B65WSplD2TW1i6IA93LRnX/UBC2KOW9PuLmj0XSonRxRh4L5X1MB/O6ayrB+CRgADkD/GoWXPEZaE2Otp37QAoSpZgP5goY2OhSk5GwpVLwcTEgHOFqZHl8HNcIe0pKr+XWA8Xw7xnN7T5no4RhvlnIeuJpwFDFDYmTIG3CsyEvHgx9xQAYgyeSmgXy+GzX8u7PAKni8XhE80wdziw6stiVDUMvPyDzeHCK58ehOlk8Er4BEJ/EJSlYDKZvgPwnde8+yXTbwN42896BwEs6dMRhhk6jRJpCXq0BOHJ4jgO1Y186NPpYrFxF5+YGylpjcEoaJ9G1GfkJ2DLoRpcPi83qGM6d8qIYA+fEOYIff8AiJ4rAVVyCgCg5ecfETV7Dhq3befnuxPj7fV1olhp+r33QzdqtCjKGUojy2U2o6P0CDQ5uTIjMFxQaHWw19aAY9mAzboHC87lBKVSyapEOZcLtlMnoUrP6HM+G8UBLpbFzuI6TC5IRM1uvjgh+pzz0FHKZ29pZ8yBKiUVinsfx941e3CBHyMvNV6HY5W8flaMRCcwKVaHXSW1+MOFBWACCBx/vrkc67edQHyUBg2tnXC6WPzxkrF9Oq+esvVQDXab6rHbVI83H1zQ5djeVooTCMEQXnegIQJNUT6yC/7wHnLgWCOiIlSYkOeRU4jUKuFiOXyz46Q4T+G+eZ0x0jfXhHB6E3POeQCA5Jtu8XngRkw+EwDgqKlB/bqPxBCgy9wOl9mMUyueQqeQe+Mu5adoGqAoIITVdh2lRwCOg35sYci2GUo0OTng7HY0f7ex+8EDDOdw+OhjtW3dihOP/Q0dR0xe87dg25VXw9FQH/T2aXDYVVKHVV8VY9uecrh+4d+NpYr7Toq/NoSqZn8pB9ddMEqc1kpad41Mj4LTxaGm0QqH04Vth2qwen2xeD9kWQ7rt50AADS08tfnrpI6vL3h8ID23fTWHgxEaUULbnzmR+wtDf47JhB6AjGyegFNUQima4dw48lNM2DKqERcOjsbK26eLhMiTY3n1bHX/ngULvdGWfHmF+IDJ4Q92rx85L3yOgxTp/sskxpdrT9tAmgaiuhoOJubcezuO0QhTgAy/SWKYULrybLy3lmmn1rl9JW4RZcCABo++jCsGkdzHAfO5QLFMEj/8wOe+e7G2s4WeWir5s1VYG02tO3YHvQ+KPAGEAC0S5LdaYOnIMLlNrIEo8efkZUoES+mKAqXzs7GdRcUYEQSn9y7fvsJ3LLyZ6z6qhhbDtaI+2xqk+f+Cfmlv+yvFhtPDwQdnfz13t0t9PPNfOhz3U9DOlWYEMYQI6sX0LSvgKg/hCEaFYNbF4/FxTOzoVbJpSkEIwuA2KRV2DZxYQ9PghWojJs2Fam33o7oBWeJTabFbag9IR7eyApekJTt7EDVK/9ExzH/RcCCwSYNbYYTgm4WALjM4dMOhrN1AhwHSqmErmAUsv++Ur5ckq8l9fpwPWilRHEcvthyHADAVnraddlUHrkZJ83fg4SXOX+FNkqGxpisGMwcyxdOXDwzG3PGpyIjkdfR2lEsb8j91td8I3OrV8uxeRMlQroYOE9Wg9vY06i7lgISPF52B4sXPtrvk9RfdLwJy/+5GXuP+Hq6Nu48iUNljSE6YsLpCjGyegHvyer+hiEYS12lWSRI3hhbBCNLvPmRfw/BPxGTz0T+3XdCm5ePxKuvhTozU7ac8jGyug8Xck4nrIeLYTlwAObf9uDU/z3pN8QjKMhLE+7DFbajf+RgeoP1MG+IiK1taLkBIFXmdzY0iNO26qqg90FJDBllncfIauv0/P/NDt6Icwn3pwAvc/cunYgbFo6WzQskVnqsqg3WTgeefnePbH5OqgHpCfyLZLAhvFAgGEv+vHQtZhue/WAvDh9vQmU9b4Q3tnXiwLFGvPfdEdnYn/dVodVixz8/OSirAq9tsuLDTUfx3Nr9OFTWCEvnwJ0bYWhBnuK9gKKDzckK7I4XkL5FCrIQdnciPHFkEbwRlNW1eflQSAwphV7elFmh9zwMgw0XNm1Yj4pnn0Hd2vfFed55QoDEyApTTxbA52UBgKutrZuRA4eg9i70W/Tu8Sj1NrrMHi2hztJSsYChO6RGVnQ7L2f4S+wEPPGf3eL8v394ADuKa8WUh55Ixug0jKy5vZQ9pnqxJc9lc3Jw2yVjMXV0EnLTeM/i42/vxtEgWoV509TWGZRsRIvZhoo6vlNCfTM/3trp9HkhfvPrwyg63ox/fLDPp9uGNJmf5TiUyJple45hb6nHCH5u7X78+zOPyCyBIIUYWb2ApihwHLp9exHssK6MrBFJnodhi9mGJvcbVaxBjQhd+D7ECIND0h9uQPJNt/poKwmhJkqlQs6zL8jDhQomKEkDwaByScRQmzZ87TNOMAYoJnyvz6g58wEAjjpv3eTBgeM4mA/shyIiUvRk0VotFBGRUCYm8WMkniyprpnL3A7byZMIhJPhw8sWhQaU+6ajdtkQ62hHuTYFW2PHwe5gsSWmEMe1yeAoGr/sr5LkfvbsbU4IGXpjOiVv3TS5IBE0RcnSHvyF3brjhY8O4IFXt8m6W0hhOb5w6J6Xt+Cxt3ehtskqhi05AGav+/ShsibZ51njUsTpqAhPqP54dbvM+9ZudaCi3oymtk6fRPni46ePVATn/j698+sIvYMYWb3giPtm8uJHB7ocF0y4UMko8OCyMwDwRtbRylY4XSzOnpRBwoUEH2ilEoap03ykCZxtvIcgYuIkMFFeityMwr8+k8/G5dtUREbCWnTQxwvmaOLzUJhIA8IVQf6i9j9viYn6g4m9ugqulhboxowV/3e0UonsZ55F6h9vBwBYiovE8Wwn7zWJGMk3E7cU+e89yHEcaI5FlToObYxeTPROsPP3qFp1LCK0vDH8a9xEfJB2LgA+7CfmfvbQY54WIGS49ZBHFDcn1XNtKCQ3QLszOI+clIp63jsl5Kx688Xmcqz9kc8fdLEcSry0sdolPWC9e85mJEbgugsKcOnsbACA1LF10J1vNTKd98TtK23A31bvxOPv+HrkGMXpE3bYd7QBa388ikfe3Nn9YEK3kKd4H+jO9R2MJwsAot1vTy3tNtgc/NtaJPFiEXpA4v8sg378BCQuvdpnGcUog/JkSUOMAKAbPQbgODhb5de57Xg5KKUSqtRUhCuqpCRx+thdt+HIjdeh8asvBu147FWVAABNZpZsPq1SQZ0xAroxY9FRchhWtzdR8GTFTZsKUBSsRf7DUazZDNrlhJnRgQMFGrwRE+3gDROzNgov3DULswpTZOt12l0eT1YPrSzve1OypIfryIxo/P3W6Rid5dFPk27f0UMjyyrxQrUHyOnyFjutb+G/O6HI6FiVJ2Ts3alD8LbNdH8/nZLE/dIK3lCdOpq/lr7ZyXsT2yx2cBywZG6OOFajCv/8xGCh3Ka6pTM8BX2HGsTI6gdsdhfe3lAixvC788ZHu8X+ms02MadBpeyfBtmE0xNNVjbS7rwbikjf/lnB5mQpJYYJADDRvESDVFqAY1nYKiuhSkv3ySkKJxSGKJ95LZu+H4Qj4bFXVwMAVCkpfpdHn8WHfwU1f8HIUicmQpmYBHuV/+R3ex1f5desjAQHXowUANIY/t6jTU4CTVEYnSWX2+iwO3tdxezd7SIlzmNkKWhKVswjzBPoqZF114ueBiGBEuc73S+mi2fx3ijBkJrtDgPuk+RPlVXJc/TOLOA9noLCvdXmRKvZhlaLHR02FxgFjUSJESlw9uR0XDQ9CxdN5wtOLB0On/ZoQ5WedhwhdM3pY36HEd/uOolf9ldhezHvPu9OxVmlVECvYdBitsPuzjtQMeRCJ4QGSqEAF4QYqZATFDFpMmLOPhedx3kNIackR4tzOgGW9Um0Dzf8/eZcbW1wmc1QRPgPd/UXrM2Gxs8/BRDYyBIMWvPuXXCZ28WQL6PTQqHXwdFQD47jfM6rs5zXwmpWRiK1s15MfJ8YTwNVQPpI3giYZEzEuOJaTMiLx382muSerB7mZOk0Hk9WWoJe5vGINah9xss9WT0TxZUWGJmtAYwsuwsU5TGUthXx992po5Kw7VANqpv4cHFlvRmr1x8W18tIjBC9cBqVAhqVAg2tnbjv39vgYlkoGRpqJY1Ired8L5qeCWNGNMZk8566JXNzUdVgwd7SBnTaXYjQDv37trQYQFDDZzmO9MntJUP/ighDhJuK4JUK5k0xOlKN5nYbrO4blkYVvl4CwtCCVqkBlwsua9eaUYK3K/aii6HNHyk++B11tZIx4V9ZKBB/xVXitKCk375rJzpPnoCjsSHQaiFHqCoEACY2zu8YIVRrr65C64+b0LxxAwBAk5oCWqsDXC5ZYjzA523Vf/AeAKBGHQeAAg0O91w1HhpLC0DTWDCPb2ejZGjcfcV4zJ2QCgVNodPm9Ci+99CTpZXcmx6/foqs6m7pWfk+4zttHsOqL9p/3uHC2mYrmto60dTWiSi9SpYXlZkciZxUA5JidahtsmKPqU5UoC8YEY1ZhSlYMtfTdOSXmQAAIABJREFUtoyiKKQnRqCqwQKniwXH8fdvlVIhq6acZEzA2Jw4mbErRB166qULV6QeuR3FtXjxo/246ZkfsbskPIpIhhrEk9ULnrhxKv76xg4oGdrv26V3fD6YF4DoCDUq6y04WcvnUiTG+LqoCYTeoDUaYT1cBMvBAz5K8uUPPwhHTQ2i5syFeS/f91DQv1JnZgE0jbatWxBz3gWgaFqikRX+RlbseRfAMG06QNFo27YFAFD33/8A4M8x6+m/QxnA6HG2tsJafAhMbBx0xgI429pg2b8XhukzZfpgtsoK2GuqETnpzIDHIS06CNRL0du7xnZ0QD0iE9oUt5EFgLVaZUK1LrNZnK7RxIN132h0agaOhnoo4+KgUHrfiyhoVArekxWExIw/YiJ5b1VumgEURYnhuUUzs6DX+F4XUkHQvhgi7VZ54vv/vuZRwh+THSsLS86dkAqKoqBze7f+9ekh3Lp4DADeq3fWJHlrIwBIidXhaIU8/1CnZqDTKHHvVRNQVN4kKt5LUbqjDvYeeunCFZfL48la9VWxOH2ith2TCxL9rULoAuLJ6gVp8XqMzYmFw8mKiepS/uslaEd129zB04S15GQz1CqFmAxPIPSViIl89apgRAlwLAtHDR9aaf3lZ7jaeW0mwUulSkyEYfpM2KurYP6N11kSjCx6CHiyAICJigZjMICR5GgxsXHgnE60bdsKe10d2n/b45OzVr3qVdSsXoWK5/4BS9EhlN1zF2rfeQtWUwkcTU1oXP8lOKcTJx55GNX//pdYDegPQfMqav5ZAcdQKpXYb1IgciqviabQ8TlOQgWpAOf2RFFn8OM4931mRJQSrtZWKOP9PxA1KgaddqdYmNMTnSyAfwF8/Pop+PPSiQCAu5aMw4jECCzwY7gAwPlTR+DmRbyoaV+SqbsSM01P0Ms0rowZfLh1vkRxXrhXqwPku6a7pSmkPWNHjuC3MyY7FlcuyPNrkAqpHQ535KK60SJL2B9qSMOFY7Ji8LvzjQD4XGNCzyGerF4SqeWNILPV0W1lSTBKDNHut0OHk0VmcmS3eVwEQrCoUtOgTEyC5eBBsA47aCV/7QaqOJQaUDHnno+2Lb+i7t01AMtBnZEBYGiEC6UoJK12Mu5/EOUP3ofGTz9G46cfAwASr/kdombPRfueXdCMyPKIsLpcqHze0/6macN6dJTweT3SxH+XtQO0Rp7wLSAUDhim+fajFKD8NPGOnDwFAERP1snHH0Hey6+C1rjDVyw/nnF7qwQjy9nIazgpE+LhD41ageY2m/gwpXrxqp0u0cqakB+PCfn+9wUAeo0S00YnY83GI2I6RLAY9CpYO51wutiAOVkAkBYfITMWk9y5VhNHJiA7xYBTdWacqOGNXW2AVjvzJqRBp2ZwZkEiPvihFD/tq8L0McndHqOK4bdnd7JoNdvw0KodSE+IwOM3TAn6PMOJ8mq+OGDJ3BxcND0Ldc18TlsnMbJ6BfFk9RKhjNlfWfHIDLlOUTAGU4zEc5Xip5qFQOgtFEUhYuJEcLZOsbULAPGhrhs1BvGXXe4ZLwkFKhP4t3qXuR3Vr/8b7BBQe/cHI6m6VMYnQDvSKFtu/m0PKp77B2pefxUVz/8DYFm/EhWCgQUAjZ99Ik535clyNvOFA0KOW3fox41H/BVXQRnHhzJprcd46zjq8ZJz7twZhfshz7nvM0IOnTLe45GRbV/NoMPmFFvIDFRCs07NoMPWMw8Px3GIi9KAgvxe693uKS1BD4ckl0h6ThqVAk4Xi02/VSIpRiuTl5CiZGjMLEyBSqnA0rPy8dRNU5GX5lul6m89gE/qr3Y3yha0vYYi3+46BQBoaefDs4ITwVtjrK+wHIdPfylD8fGm7gcPYYiR1UtEI8vqK5Cn9UpaD8YbL3iyALnuDIEQCvRjxwHgk7Abv/oCztZWsZ8hpVFDleIxKCi1x+D3blY9FFrq+INxGxxCW6LkP9woLqN1eliLi9BhKgEAOBt5EcqoWXO73KY0xMh2dGFktTQDFCVrXO2PqDnzoExKQuptdyL2vAskx+e5H3SWlXlWCODJElTulQn+w4WGCDU4eMJCPQ0X9pZOuxONbTb87+vb0WIOruk1y3JgaAp6rVIWLvRua5Yap8eozBhoVApcOT9PtkxaRHT1OSPFKsSuUCkVSIkLroJWkDx44aMDOFLhqcQNpr9tOJKbxgvJXjwrC4Dn+/NW9O8r3++uwJdbj+O1L4q6HzyEIUZWL4nU8Q+fNovvm5nT68flcHb/YxO0sgCPq5tACBWavHxQKhVaf9yExs8+QeWLz4n98CiFAvoJE5F+7/1Iv/9/xXCiP4TQ11BoDi1FodUi79+vI/nGmwEATLwnvJW47BpQDAPdKE8zZE1ODqIXeHKoYs49X5xOWHo1NHnyKjp/YqGOxgaceub/+NAjx3X7nSX97jpkPbnCZ5xC67kfSI05wZPlbWQJ2lmCF9KbaL38/ztQniwhH6u2yYrDJ4JrQ8O6C4t0agZVDRZUN/IVstLkbIAXHo2P0uLlu+fg/KkjZMukuVreemGhQOn2JNocLnz2a7k4v2GItqVptzhg0ClhcD/jBE9du9URslY7LMfhgx9KAfj+L083iJHVS2Ldnqemtk5YO51okJQxu7xE6YJJgowhnixCP0IrldDmjxQ/206e8MgxKBT8g2zUaOi8wmjeVP/7XwD8GxXhDq1UidV90hC+dmQBcla+gLR77kPcJZdBk5eP1DvuBsUwyHn2RcRffiUM02eI46PPOgcjHnwI2f/3D3Fe4xef+eyv8oXn/DbY7gp/qQXScKG9rlaUnxCNZPc5ce5VHbVdhwujvIpq/BXv9AdqiUfpVG1w4TSW5T1tde7767Mf7sO+ow148LVt4pg/L50gTvuTiBAU4UdlxvRLqzJ/0QwAqGnsWjIlHGFZDo1tnYiXCMpKr8mWAK2NekpRuSdE6GI5n/Dv6QQxsnqJcBHy4nVbcf+r20T3sNPFQUFTYs+rDlv3sWzhrQHwL+hHIPSVuEWXyB/Y7spCiu5ak02qNyXQnebWUCDriaeRfMPNUMbEQBERAYqiELdwEUY8+BAYAx8yYaKiEHv+hVClpSP67HOQfNMt4kNHmZCAxGXXituTirYC8NG16i3ScKFl/z6UP/Bn/oM7XCgk4LPu27m9rg60Vgs6gGBslF5+fwnVg7M7nrhhCm6/tBAUxfcFDCacxnKcrHCoqc2Gl9YdEI950siEgDlWAkIqRnJc/7y8Th2VJHp7pAj5WUMFjuNQ2WCBi+Vk2mAAcM5kvuDFEqKqSakpbHO4TuukemJk9ZI4tyHU0NohGlGCBozdybdj8LRq6P4Ckr6B+dOaIRD6ijY3DznPvgjDrDkAAKe70bO3dIA3seddAMP0mbJ5Sdf8vl+OcSBRpaTKPFRdQdE0Epcu89EZi5q3QJyufuM1sDab562c8XyvfQmvSsOFUoTWO4IVIpgsrtYWKBMSAxbceMvDpCcOjHp/fJQWk4wJmDk2BZUNFlGZvStYllcaXzQzy+9yTYBKQSk3XjQK8yak4rI5Od2O7Q3piRF4/o5Z4mdBFDUcjazqRgsaWv3nD36+uVxsCu3dGklonWTpQkajJ3h7TwN5A9d8a8KPe/m+nyzHdSnjEa4QI6uXKBley0pQEQYAmzuR2NLhhF7LiLoxZ0/2rx/jTVIMf2H3RRWZQOgKviEx/1bqaODDTsEYANJE96h5C2T5S8MZiqLEPK+OksM4evstKL3pD6h7711RgwwAlIlJgTbRLbTOvzRE9apXAQCOel6ygZMYVYHysQBPPikAPPqHMzE2278ga38h3A+PefUR9AfLcaBoCovcfQkF5oxPwcUzsnD5vLwAa3qIilDjd+cX9OvLq07D4A8XFGDexDSsuGU6KCo8w4UPrdqB+91tg6S4WBZfbDkufvb2ZEW4WwuFysgRPFfCdtv8yHM4nCx+/K0SazbyIff3vjuCu178VZSUGCoMrezVMCM+SitrOCqI0Zk7HUiK1qIwJw7/Wj4n6BY5T9w49bSOTRPCA6Evnq2CL9UOppef1MjS5uZ2MXL4YZg2A7Vr/gPO5nnhEppRa3LzoEpKQtziS3u9fdqPJ4vjOLAW/iFuO3UC0OXDQXlu54HysQBe7mBcbhymjUnyq2De3wjhu3ZL12FKjuPAcXxiPk1R0GsYMXl+4YwsxEf5Nz4Hi9njUzF7PD+dEKUVeyaGI699UYxbF48Rix4OHGuULY/38mQJTcH7IiYrRfBkJURrYO5woKG1A3oNI6voPOJVzbjpN96jVVlvGVIdUYgnqw/ER2tkpcR2pwtOFwub3QW920LXqpmghUUZBS1WqhAI/YVoZJ08yX+Oju5qOAC5kaXJ9e1PN9yhtRq/8w0zZyH5+pugjAss1tnttjW+22Y7PA/wxP+5BgDQofDkWnXlyWIUfB/DaaO7F9rsDyLcHqU9R+rxt9U7UBRAJ0l4EAsSCYInKlKnRJzB//cdLiTH6dBudYRteGt3SR3Kqtrww54KVDda8Mu+KtnyBC9Plr6fPFlCWPL1L4rx0KoduPXZn9BqtmHn4Vo8++E+cXy1xCu47udjQ8oZQYysPuDtUrU7WDFmrdeSvCpCeMLE8mXsQk6WYHR1hSDdAPDtdghyUv94h9/5XGffS9799TvsPHYMABA13xO6lRlZXXiyBhtpOkRFvQVFZf6NLEHhXeiuIYS4slMMYd8RQzACW9qD0wMbKKRNtHcW1+K/3x3BQ6t24EhFi6yqXVrtDnhCzKE6H28jS8DuYLH85S0o9eoh+eGmo+J0daMVB8vknrdwhhhZfcD7bcrhZEVLP4IYWYQwhYmJlVUZKoIwslTJKQCA+CVX9ttxDWW0uXmIW3wpIqdNR/TZ53oWdFNU0FsqX3wOAKBy53pdPi8XlM4TaulO+DSc6PRKgna6WLAch9pmPkFbqLbucBcQpSUMTKJ+X9BphKKn0Kqk9xUXy8Hg1kmTiot22FyIkzgNvCMq0REqROqUKK/pPo+uO+pbOvDV1uMAgPQE/6kKKq9qTSGcudidm/f2hhKcrG3v87EMBCQnqw94J1LanS6x9YAQwyYQwg2KpqFOz0BHKd9WhYnu/oEcc+750I40yrS2CHLiLl4MAGBtNhimToP1cDGi584PybbTlv9Z1kNRQBHB51RdOC0T7coJqP73Zn5+5MDnWvUEJUOL1dg2r3Ytj7+9CywHjHFLM+Sk8nIat19WiPe/PxJUP8HBRueuLA9VNV4oYN05bimxOrhcLE7VybXKusodpigKOSkG7D/WiINljfhlXxWuv2gU9pU2oCAzxsfzVdtkRUK01m8R119X7xCn0wMYzN6Gt8CZBYnYd7QBJ2ra8ehbu/Dmgwv8jgsniCXQB7zbM9gdrCiaJ1VwJxDCDWVyssfIMnRvZNEqVbdCpQQeWq2GJjsHmuzQSQboRo/xmcfExEBfOE78LC1gEIyvcCU6QoX6Fj6U2mZ1wOFkoWRouFgOFfV8/o0gIpqbyl+fozJj8PgNUwfngHvIiGT++y8+3oyJI8MjdCvokikUFLJTDDhULg/Tnqhpx/N3zgqY75STyhtZz6/dz2+P47C3tAGJ0VqsuHU6OmxOrNloQmlFCxrbbJg3MQ2/O8/3nmF3F4jpNYxMoFbKvtIGcfr8qSPwzQ4+fzQ+SoPZ41LEZt8sy4V9NT4JF/YBHyPL6YLDLeMgyDEQCGGJ5EY61FrkDEf85SAl33hLQMMq3P+ni2Z6JBmKypvw+Du74HSxWPudXCE/IVojhreGEsaMaERoldh9pM6nz+JAwXEcVq8v9uhMuY0smuaNLAGhCfaMscmI0qsCOghyUuUvY3vdhpDgWPh21ylsL65FYxuft/XT3krsP9oga8UjNeBiIjVi82l++wbMHMt7KZsluV9TRyXhxoWjcP2Fo6BSKmSezGB7YA4mxMjqA1ovITyHk4XTNbBNVwmE3pBwua+KOyG8Sb7pFtlnyqvHpCIi/HOVBGYWpuCfd88WP1fWW3DwWCPe+1ZuZOWmDp3cMimMgsaY7Fi0mu0yLcWBpM1ix5aDNViz0YTn1+7HA6/yrYhoikJumud7HZMdi2dvn4mFM7K63F52StfeUan3SeDFdQfw6Fu7xM/1zR4hVAVNQa30PENT4/R+JSJS4nSYMTYFs8bxeaFaNYML3P0pG4dAf8jwft0Jc3zDhS6xAkahIPYrIXxRREQgau58qNLSBvtQCEFimDodYDnUrH4dgK+0g0Lfvd5ZOOEjDurnvVTqcRlqCFIVdrsLP+2rRGK0ttsWQKHC0unAD79ViJ+l1Xg0RckaZXMc55NT5Q9dN2KuzWYbYiLVMi8UwMs+dNic0KoZHK/2JM6rlbSs2jE1Xo89pjoAfGj4jJEJaLfaoVL6hhSFyv6G1k7kB6f1PWgQI6sPqL3++UcrWxHldrUqFMSTRQhvkq4d+q1xhhuRZ04BaApwsVCnpsqWUQyD5Jtv7ZMm12DickcBFs7IxFdbTwAAkmKHbtqF0q3vtdtUJ6qpr35gPsqq2vDL/ioUZMZg0bzQ5859s+Mk1v54NODyfUcbwChoZCZF4kRtu5gbFwyp8XpUNVgwPjcO+90Vf4KOmcvFIkKrBkXxPSal/P2937D8ygkor/ZIM/z+ggJZGDwlTidWY+o1DM6aFNh6EiohGwfJS9gTiLulD3iHBLcV1Yo3CqYfur0TCIThDcUwMEydDsOMmX6XG6ZMgza3+1Yz4UiZ28shbWDtraM0lBBkCIqPezTmapqs+PjnY/j1QDXW/XRMnO90sfjXpwfx4kf7ZcKbvaErAwvgK/QA4K7Lx2FifjwunJ4Z9LZvv3Qspo9Jws2LxuCx66cAACbk8Ua9i+WgoCnc/z8TMS7X06opJ9WAk7Vm/N+aPdh+iG819Y8/zpCpuwO8AWccwXvYRmXGoCsE3a5QNazuT4gnqw/4q2pwiuFC4skiEAiEYDno9oxI76vegs9DCaFyTtqQ+ce9lThyivfmNLfbUNdsBQU++X+Pie9Buf9YI964f36/Vc39/ny+4i8mUo07l4zrZrSclDg9brqYr3SNchckuPPpRSMrMUaHxbOyRW2r+5ZOxPrtx/HV1hOoa+kAo6BF7TMAOG9KBg6faEZclAb/c1YeJuTFozCn67CqkKpjDVGbn/6EGFl9wPtHkBSr83iySE4WgUAgdAlNUWL1XaVbskFBU5h/RhqqGyxDus2Y4KlpMXt6NH6/u0I25j/rD6O5rQPHa+TCmofKGzEut+9h3/OmZGDjzlPi50id0ieXuLcIz7/KejMq681wuTjRuRAryfFSqxS4bE4uqhut2GOqh5KhZWHCqxZ42nTRjELmBQuEIPY9WEUFPSGob9toNJ4N4DIAdQA4k8n0mNfyLACPASgCMAbAcyaTab972TUAJgJwAThmMpleC9nRDzK0V1m12WoXO4QTxXcCgUDommdvn4E2qwNvbziM8mre0KApCteeO/Q12bKSPflWcQY1DHoVyqvbZY2uf95b4XfdqgYrxvWxD/vscSm4akE+jCNiwLEcxubEgWW5kLUkEtJlqhut+Ovqne55vHMhKkKNC6dlyhLqhfFdiZ4GS4RWiZxUA0pONqPFbAtrXcpu3S1Go1EH4FUAy00m06MAxhmNxrO8hr0A4DOTyfQMgJUA/uNeNx3AnwH82WQy3Q/gRqPReFp2l42P0sDS6URpRSvSEyKIkUUgEAjdEBWhRkZihKzq7nSRv5E++PPTo/HHxWMxIS8eNy8ag+suKPAZr2JoLJnLC9gKQqx9Yck83kqbkBePiSMToGTogOKfvcFfOFP6v7t8Xq4seX3qKL4F1Plu+YW+Mn1MMjiO78EYzgQT05oO4ITJZBLKBbYAuMhrTD6Ak+7pMvCGWDyA8wDsMZlMggLZNgAX9O2QwxMhQdPFct0m7REIhP5j7dr3BvsQCD0kM8nj9Ql3Be/eEKlTIT5ai7suH4fCnDi/IbHoCDVmFfJaULYAbWWCQaWkkZkcCYOuf0Vc/RnDXeUiTxyZgDceOgdnd1E12BPOHJUIBU3hh98q0BFmPSKlBBMuTAQgDRi3uedJ2QxgGoA9AKa45xmCXNeHmBgdmH6KxSck9E+7iczUKBw+wVeRTC1M6bf99JRwOY6Bgpxv//Pml0XYsr8ypNucOT4N11/s2zrGm2DO9+OPP8Ttt9/S7bihwnC4po12VpyOidadNue8YHIGNu0+hXHGRNk5xcT6CscqFDRSknmRUIqmg/4Odh+uxWNvbMdzd89BfkYMXC4OWjXT79+hv/Y7CTED979LALB4Ti4++eko1u84iZsvKQxLfcpgjKw6ANJvzeCeJ+VeAPcYjcblAJoBNAKocI/L81q36/pSAM3uvKZQk5AQifr6/uncnSbRc0mOUvfbfnpCf55vOELOd2DosNrFAo9QbrOrc1m//gusWvUKFi26DPX1dTCZDmPs2HGIiYmF2WxGfv5InH/+Rfj880/Q2tqKFStWYsyYQtTUVOHdd9/BunVfYufO7Xjmmafwz3++BqfTiaeffgxxcfFITU3Fjz/+gEceeRIrV65AYeF4KJUMiooOYfny+1BQMBo//7wJu3btREpKCkpKDuOJJ1aE9PwDMVyuaYbzGFnt7Z2nzTlfNS8H47JjMTrd0O05mTvsaG3hn307i2uC/g5Wf35I/Hv9haPgYjlQwIB+h/PPSMPozFiMzorpcr+hvp7Pm5yOT346iq+3HkdtgwW3X1YYsm33lEDGZTBG1jYAmUajUe0OGc4E8IrRaIwF4DSZTG0AUgGsNJlMVqPRaATwrclkshuNxo0A7jQajZQ7ZDgdwD9DcULhhjRE2J0yLoEwlLlyQR6uXDCwWkwXXbQIP/zwDUaNGo3rr78Z7777NiorK/GHP9wEjuOwbNnlmDp1OhYvvgxr1ryFG27weLLeffcdAMCUKdOQnMyHYzIyRuDiiy/Btm1bcNttf8LixUtgMERh9uy5cDgcuPXWO7Bp0/fYsOErFBSMxjffrMecOfNxwQULcfDg/gE99+GAtOJNyZw+4UJlkNVyAB8uZHoh/ZOeoEdFvRlHK1vxxZZyAMDU0Uk93k5fWHbOSJ9CsIFAydDQqRlYbU7sOVI/4PsPhm6NLLfh9EcALxmNxnoAB0wm0w9Go/EZAE0AVgCYAeBCo9G4G0AsgDvc61YYjcaVAJ43Go0uAG+YTKbS/jqZwSTWoMHE/HjERg5dXRcCIdzJzOQbC9fW1qKxsQFr1rwNAMjJyUVjYyNiYnrWtiQri99eWponTyQjg0/MjY6OhtXKexbuuGM53n33baxb9yGmT5+JsWPHhaxKiyBH2jR4ODB/Yhp0GgZzxqfKrimHk4WS6T78JVTr2ewu/LyvCsmxOswsTO5mrdDwwNUT4WS5QTGwBO5cUoi/v7cXkbrwdG4EdTWbTKbvAHznNe9+yfTbAN4OsO67AN7t9RGGOc/ePhNC/l9Phd0IBELPEB5CeXn5UKmUuPba6wAAP//8I1JSUtxj+AfTkSMlGDmyQJY7UlfXfSWSP+OpvLwMDzzwMJxOJ+6442bMnj0PRqNvhRih96TE6VDdaBVFLk93brhoFI7XmXH1gjzZNTc2OxaHypvQYXdCyXT/XXTa5Unyl83JEaUU+htBoX0wMY6IQW6aAeVV7eC40ElUhIrh9crQDwTTWJNAIPSNXbu2o7KyEh9/vBbLlv0eCxcuxiuvvITVq/n8KrVajblz5wMAjMYCvPrqy1Cr1Rg5sgDnn38Rnn/+GWRn50Cn0+Ozzz7GVVddjS1bfkF7ezt2796JyZOn4OTJE9i/fy/Kyo5iypTp2Ljxaxw7VoqSkmIUFR1EUdFBaDQaZGfnIienjyJGBB/+95pJsHNAbJh6JELNzMIUXOInRykpVodD5U2ob+4IqkJQamRFaJWYZEwI+bGGO3qNEizHodPuCpnYaqig/FUIDDb19e39clDDJYlUgJzv6Q0539Of4XbO5HyB7UU1eP3LYixdkIdzp3SvKfXMe7+h5GQLnrxxKnQaJqyFOfvr/7vqyyJsK6rFM3+cjviowel3mZAQ6deFFn71jgQCgUAgDFPy0ngZhw82HYXTxQYc19xuw5qNJrSY7VAxNFLj9WFtYPUnenexWTj2MgwvvxqBQCAQCMOYOElT7Mp6CzKT/UsD/OvTgyiragMAGIZJiDUQOg1vyljC0MginiwCgUAgEMIEWYVhF54saXPk4VaR6Y3gybJ0OAb5SHwhRhaBQCAQCGGE0HrGbA1sNDicHgNMo+6fDilDBb2WNzKtYdhehxhZBAKBQCCEERlJEQAAcwDPDMdx6LR7DIq0+IgBOa5wRfBkBfq+BpPh7WMkEAgEAiHMEKQbWi02n2V1zVa88ukhCMIAl87OxtwJaQN5eGGHwa2t1maxo7LejLgoTdiEUIkni0AgDEnWrn1vQNbdunUzrrhiEaqrq3q9v2DYv38frr9+GX77bXe/7ocQ/gjJ741tciPrk1+O4cHXtuNknRmTjAm4b+kEXDwzWzQyhiuCgO3hE8346+qduPOFX/02sB4MwsPUIxAIQ4ZPjn6FvXUHQ7rNiYmFuCxvYY/WWbv2fVx55dW92l9P1p0xYxbee+8/vdpPTxg/fgJyc/P7fT+E8CfO4DayJMntbRY7vtp6AgBwzbkjseCMdL/rDkci3Z6/U3VmAICL5VBW3Ybc1KjBPCwAxMgiEAhDgJMnj2PlyneRnJyO8vJjyMnJg9ncjtWrX0NmZhZsNhtee+1fuOSSJaivr8PRo0fw6KNP4+WXn8fYseNQVnYUS5deg/x8Iz7//BNx3TFjCjFt2gyf/dntdqxY8QRiYmIRH58Aq9UCADh06ABWrlyBwsLxUCoZFBUdwvLl96GgYDReeeUlfP/9RixZciVKSg5Dq9XiL395xO/52GydeO65Z5CSkoqWlmaMHz8VNaPNAAAVLklEQVQR8+efLS4/frwcDz10Hy666EJcccW1UCqHd4n+cENQLT9Y1ojjNW3ISjagst4sLp89LmWwDi0sUTI09BpGJuHQ3kXRwEBCjCwCgdAjLstb2GOvU1/Zvn0r1Go1rrpqGerr66BSqfHpp+twww23iGM2bPgKo0aNxvXX34ySkmIolUpcd91NMBoLYDKV4J133sSTT/4dixdfhjVr3pKt682XX34GnU6HO+9cDpZl8dFH7wMAxo4dh9mz58LhcODWW+/Apk3fY8OGr1BQMBq33XYX1q37AIsXL8GyZRG45por0dragqioaJ/tnzx5AqWlR3D77X+CVqvDsWOl4jKn04n167/A00+vxOTJhcNKAZ3gy5qNR/DX309GZQNv6F8xPxdKZnhXE/pDr1XKjCxXF/IXAwnJySIQCGHPxRdfitjYWNx2241Yvfo1MIz/98PMzGwAQEHBaDAMgx9+2Ih33lmNH374Fi0tzUHvr7y8DOnpGQAAmqaRkpIqW56Rwbc7iY6OhtVqFefHxMQiIiLC7zIp+flGXHrp5Xj44QfwwAP3iE2tAeDjjz/E5s0/BzxHwvCiqY0PGVa5jawxWbGDeThhS11zh+yz3cnC4WRF43SwIEYWgUAIe4qLD+Hmm2/GqlXvIDY2Dt988xVomgbHcThypEQcJxVyfPfdt6HV6vD739+AhQsXy7YnGDXSdaVkZ2fj1KmTAACWZX2S3qX7CWa+N1VVlRgzZixeeulVXH75VXjzzdfEZVddtQz33vsgHnvsYdjt9qC2Rzj9WHHLNABAq8WO6kYLKhssoCggJU43yEcWnqQn8C83s9yhVIeTxbe7TuKvb+xAXbP/l52BQPHoo48O2s4DYbXaH+2P7er1alitw+emRc739GY4na/JdBiffLIOpaWlqK2twSWXLEFbWyt2796J0tIjUChofPvtBlitVuTnG6HVaqHR6PDFF5+iouIUSkqKUVR0EDk5uUhNTcOBA/tw5IgJVVWVmDhxks/+cnPzsWnT99i37zcUFxehsvIULBYzkpJS8OmnH6G2tgbjx5+BtWvfw9GjR2A0jsK2bVuwZcuvSE/PQFNTE775Zj1YlsUZZ0z22X5zcxPeemsVKisrUFJyGGeffR7a29uwfv3naG5uxsyZs7Fhw3rs3r0L2dl5iI72DTmejgynaxro+nz1WiXiDBrsLW1Ai9mOovImpMTpcM6Z3TeNDlf68/9bmBOLghExSIzWYldJHUZnxaCp3YayqjbMLEzp976Oer36MX/zqXApc5RSX9/eLwdFOryf3pDzPb0ZbucLDL9zJucr51B5I577cL/4eVxuHO6+YvxAHFq/MBD/3/1HG/DiugO4Yl4uGlo78ePeSjxxwxSkJfSvYGtCQqRfNzYJFxIIBAKBEIZovQQ1zxiZMEhHMnRQMbxZY3eycLF88jujGDxTh2RWEgiEYYvVasVPP/0gm6fVamVyCn1l+/ataGpqlM2bOnU64uLiQ7YPwulJTKQ8xDWLSDd0i1LJV17anS44XXxQTKEILleyPyBGFoFAGLbodDpceOHF/boPfzpcBEIwxESqRf2nUZkxoIMsrBjOCJ4sh4OF0y3joKAHz5NFwoUEAoFAIIQhFEUhJU4PALA7XIN8NEMDpTRc6PZkMYPoySJGFoFAIBAIYYog2VDdOHgyBEMJlVuo1eF0webkDVPiySIQCAQCgeBDVnIkAECpJI/rYBC+p7qWDhw+3oykGC206sFTyCc5WQQCgUAghCmzx6eitrkDM8YmD/ahDAmEnKxjlW0AgHkT04IWCe4PiGlMIBCGJGvXvjcg627duhlXXLHIR/W9r/zyy0+ybZaVHcXjj/8Vb721CmvWvBXSfRGGLoyCxtKz8jEiKXKwD2VIoGIUUNAeoyovPWoQj4Z4sggEQg+p/+gDtO/eFdJtRk4+EwlXLO3ROmvXvo8rr7y6V/vrybozZszCe+/9p1f76Ypff/0JERERYl/EX3/9GWecMRkLFy6G0+nsZm0CgeAPmqZQmBOHfUcbAACZg2ycEiOLQCCEPSdPHsfKle8iOTkd5eXHkJOTB7O5HatXv4bMzCzYbDa89tq/cMklS1BfX4ejR4/g0UefxssvP4+xY8ehrOwoli69Bvn5Rnz++SfiumPGFPqVWLDb7Vix4gnExMQiPj4BVivfZPbQoQNYuXIFCgvHQ6lkUFR0CMuX34eCgtF45ZWX8P33G7FkyZUoKTkMrVaLv/zlEb/nU1x8CKWlRwB8haKiQ5g+fSZ27dqByMhI2O12XHbZFf35dRIIpzWzx6WIRtZgCpECxMgiEAg9JOGKpT32OvWV7du3Qq1W46qrlqG+vg4qlRqffroON9xwizhmw4avMGrUaFx//c0oKSmGUqnEddfdBKOxACZTCd555008+eTfsXjxZViz5i3Zut58+eVn0Ol0uPPO5WBZFh999D4AYOzYcZg9ey4cDgduvfUObNr0PTZs+AoFBaNx2213Yd26D7B48RIsWxaBa665Eq2tLYiK8u07OHr0WOTnj8QFFywUextOnDgJKSmp/a7bRSCc7uRnhE+vT2JkEQiEsOfiiy/FJ5+8h9tuuxEjRmTizjvv8TsuMzMbAFBQMBpNTY344YeN2L59CywWC1pamoPeX3l5GdLTMwAANE2LIT2BjAy+SW90dDSsVk9pfUxMLCL+v717j7KqPO84/p0ZFWYGL1wmXgIiID7WaBCzoqHYVtS6dIV6jbVJzcLEhBVXaKK5kLRdGqxZTaIk2LXU0sRYtGoVuaSolRJE2wZRFMPCgDwMqZoBBNHBIExAcKZ/vO+wDjgDc9vnnP2e3+efmXP2PjPvb7377P3svd+994AB+03rqMgSkewMqD2cz190yr57jJWSBr6LSNlbs+Y3TJ48mZ/97H4GDRrMwoVPUF1dTVtbG+vWrd03X+FVRA8+OIva2jomTbqeiRMv2+/vVVWFVV/hZwuNGDGCpqbfAdDa2vqhQe+dXa3UnauYquO9ezZsaNqvUBOR3ptw1lBOHT6w1M2gZtq0aaVuw4e0tLw/LYu/W1/fj5aW97P402VJedNWSXndX2XevDk0NjayZctmLr/8KrZv/z0vvbScxsZ11NRUs2jRU7S0tDB6tFFbW0v//nUsWDCfDRuaWLt2DatXv8LIkaM44YSPsmrVStatczZt2sjYsZ/40P8bNWo0S5YsZuXKl1mzZjUbNzaxc+cOjj32eObPf4wtWzYzZsxZzJ79MOvXr8Psj1i2bClLl/4vQ4cOo7m5mYULn6S1tXXf6cAD7dr1B55+ehErVrzIyJGjWLBgHlu2bGbgwEH7jpxVUh+D8qYu5bz19f1u7ej9qra2tmK35ZC2bn0vk0Y1NBzJ1q3vZfGny5Lypk1501dpmZU3bSnnbWg4ssPD2DpdKCIiIpIBDXwXkYrV0tLCs88+vd97tbW1TJhwYZ/9j+eff47m5nf2e++cc8YxePCQPvsfIlKeVGSJSMWqq6vL/JYJHd2HS0Qqg04XioiIiGSgS0eyzOxC4ErgLaDN3W89YPoIYDrwInAm8LC7L4jTXgdej7NudPe/7ouGi4iIiJSzQxZZZlYHzAQ+5u67zWyumV3g7oUDGaYCv3L3GWY2FpgNLIjTZrn7tL5uuIiIiEg568qRrHHAG+6+O75eCnwaKCyytgAN8fcGYEXBtD81s6nAkcBT7v7cof7hwIF1HHZYTRea1n0NDZX1JHPlTZvypq/SMitv2iotb1eKrI8AhTe22B7fK/QTYL6Z/QQ4G7itYNp33X15PCL2splNdPf1B/uH27Zlc/fjlO/R0RHlTZvypq/SMitv2lLO21nx2JWB728RjkK1Oyq+V2gWcK+7fwO4AnjUzAYBuPvy+LMFWAmM707DRURERPKoK0eylgHDzaxfPGU4HrgnFlF73X07MAx4M86/DWgFqs3sAuBwd18Yp50M/PZQ/7CzO6f2hUo7VKm8aVPe9FVaZuVNW6Xl7dJjdczsz4HPAFuBPe5+q5ndDjS7+w/N7FzgRuBlYASwwt1nmtkZwDTCGK0TCFcX/iCbKCIiIiLloyyfXSgiIiKSd7oZqYiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIhkzMy0va1AyXW6mZ1Q6jZIdiqtf81shJkNMLPMbtBbTsxsZMHvyWc2s9PMbESp21EsFlxpZoeXui3FYGYfN7M5ZnaUu7eWuj1Zi+ur+kr47nZVV+74ngtmVg9cBkwwszeAde4+28yq3D25m4GZWX/gn4Cl7v6AmVWn/CWOz76cCFxtZo3AYndfUuJmZcbMBgAXA58lPID9JeC+kjYqY2Z2CXCfmd3s7vcSdgI/KHGzMmFmxwB/T3iCxhTgtVTXVQBmVgtcApxLeIrI0cDbJW1UhmL/fhc4HWgjPNN3cUkblaG4vppIeKzeNmA5ia+vuiqlI1mXAoOBbwKrgW+b2Znu3pZoVT2M8EzJO82sJvEC63TgbmAD8HWgDhib6uF3MzuJ8ND1FuDLwO+AoXFacstyQT+2AkuASWZ2tLt/kGIfm9lo4GFgLfAnwBtmdgRQE6cn18eEImNPfL7tK8DeuKOYXF4zGw+8AGwGrgHmAv8XpyWVFfZ9f6cQCufJwBpgUIpZeyL3KzAzq4qdPAFYHZ+l+DiwCLgDIKW9w4KNToO7fw5oJGyQUz7n/zrwHrDc3TcRNk4nJlxYbgbedff/dPdmYACww8wGp7QsQ/j+FvTjycA8wkb4W/H5qHUla1x2mgiPGlsGfAH4G2AG8C1Ib30VN7bnAXvM7ErgL4HvEXacksobrQRmuvud7r4TOB64HJLMCmHn4GKgyd1/DxwBNAAfL2mrykQuN8rxvO/keJ67La6kNwA/BHD3vcA9QI2ZfaqUbe0LB+Rt3yD9Jv78IjDFzEa6e2sKew+FeQHcfQdwS+xXgPXA/8R5jy1RM/tMB3l3AT+I08YAA4F+wC/M7Kr4fm77+cDvr5nVxElvE3aOfgV8Hpga+z6ZvLCvf5cQvrv/7e7TgCeBi8zsvJI1tI8cuL6KhcUmwvCGTe7+D4T189lmdkVJG9sHOujfnYR87Z4h7Cjmejlu10HePcB/AH9lZvOBowg7Eo+Y2efiZ3Kfu6dyV2TFw+pTgSsJY7Da3Q4cZ2ZXx9fbgOeB7cVtYd/qLK+7b4+nCVcTTj3MiJOGFL+Vfecged8tmO1sYHE87TKluC3sWwfJuy3++qq7fzU+WP0JwoPWc7tH3FFed28fd3UhcC3hIfNLgJPiQ+aTygvg7s8AP3X3xvjWs8Cvgb0H/o08Ocj6eRYwCBgHEHM/RA63QYUO0r+7C2Y7GRgb38/lctzuIHlnAH9HWF/d4u53Af9MOKKV+9y9kccF/AhgFWEQ4bj2K3Pi3uHfAj8ys1OAswgbpFwXWXSSN+4ZtC+4k4C/MLOHgbwf2TlY3vZTosMIX/B7gO05P03aWd72TMPi6/HAJwg7DnnWWd5+hCJjI/CjOH0CcH6K/Qvg7uvieEOAM4ATCUd88qyz9fMe4NvAN8zs+Lg8n0YYv5NnB11fRQuA+jg4PO86XZ6BMcBNAGZ2LmFn+Lmit7DMVLW1lXeBaWanEqrmxcAad98RTy+MAW6I780omP9LhOr5MODncQxPbvQgb3/CXtK1wF3u/moJmt1j3ckbV1zjCadWZgH/4u65Wkn3oH+nAmcCvwR+6e4bStDsHutm/x7p7u/FK9EuIOwV/7ZUbe+JHvTvbcBIwunvJ1Pu3zj/TYQxhh8A97v7xhI0u8e6mzd+5hxgODC34KhtLvSgfx8hXLDTCDyQt/7NQlkWWXEwbJuZ3UA4v/sa8GdAvbtfVzDf1wiXyM7IW3FRqDd5415+XfvYlTzoZd5TgTPc/bHit7xnepn3WOAkd3+h+C3vmd5+fy1ntzLoZf82AMPc/eXit7xn+qB/a/JUbGh71K3luT9wlLu/VfyWl6eyOwwfj1bUxpfHAAvdfTZwC3CVmV1UMPtjwPvAj83sq/F8ca70Nm8cWJqrAoue5+3v7mvzVmDR87z93H1L3gosup93euH3N28FFr3r3615K7Do5fo5bwUW2h51Z3nepQJrf2VVZJnZOMLtCKab2ccI1fNwAHd/h3DZ7/SCj9QQxiD9mnBo8v3itrh3lLfbeXcVt8W90wd5d5Mjvci7kspcniulfyt1fVVpeXO1PBdLWZwujAMCpxHO484G7iV03LvAFHc/Nc7XD5gPfMfdXzGzIUD/HI5jUF7lVV7lzQXlVd44XxJ5i61cjmS1Ea4qWuzh0vVbgbM9XAa618xujPMNJtyIcg2Au7+d0w5WXuUF5VXefFBe5YV08hZVuTy7sAWY4+5NBe8tiz9vBi42szsIt2NYkadz+p1QXuVV3vxSXuVVXumSsiiy4kDXwg4eDrRfnXEE8I+E2zK8Fs8N55ryKi/Km1vKq7wor3RRWRRZHTgeaDazfwd2A4vc/Y0StylLyqu8KVFe5U2J8qadN1NlMfC9kJkdR7hL7CvAbHd/qMRNypTyKm9KlFd5U6K8aecthnI8ktUK/ByYXiGXhCpv2pQ3bcqbNuWVXim7I1kiIiIiKSiXWziIiIiIJEVFloiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZKAcb+EgInJIZjYe+D5wGuHBtQOBAcC/uvucQ3z2OuA8d78u42aKSAXTkSwRySV3XwrcT3jcx1fc/RrgS8DNZnZTaVsnIqIjWSKSEHd/08ymAnPNbB5wN7AaGAy85O4zzWw0cC3wUTO7C3jc3f/LzL4GnAL8ATgGuMndd5QmiYikQEWWiKTmRaAe+AjwY3d/BsDMVpnZAndvNLMHCacLp8RpFwCXuvuF8fX3ganALSVJICJJUJElIqmqBs4zs88CLcAgYBSwqYN5LwGGmNnM+HoI8GZRWikiyVKRJSKp+SSwEzgfGOvulwKY2ZlATSefqQKWufsNcd4qoK4IbRWRhGngu4gkw8yOA24HvkcYh9Uc368GhhbMuguoMbMqM5sEPAVMMLP2Hc/LgRuL1nARSZIeEC0iuWRm44DbgNOBOYRbOBwN/Ju7P2pmJwKPAI3AO8BlwCrgeqAWmAusB5a4+31mdiPwx0AT0B/4prvvKm4qEUmJiiwRERGRDOh0oYiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZEBFloiIiEgGVGSJiIiIZEBFloiIiEgG/h++7uk9VFmU4gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk', 'strat_dnn_tf']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_15.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
